Tessero\Polynomial
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apply
static
apply(string $name, mixed ...$args): mixed
Call a function by its SciPy/NumPy name: Polynomial::apply('log_ndtr', $x).
Chebyshev
static
Chebyshev(mixed $coef, mixed $x): mixed
Chebyshev series evaluated at x (numpy.polynomial.Chebyshev).
Hermite
static
Hermite(mixed $coef, mixed $x): mixed
Hermite series evaluated at x (numpy.polynomial.Hermite).
HermiteE
static
HermiteE(mixed $coef, mixed $x): mixed
HermiteE series evaluated at x (numpy.polynomial.HermiteE).
Laguerre
static
Laguerre(mixed $coef, mixed $x): mixed
Laguerre series evaluated at x (numpy.polynomial.Laguerre).
Legendre
static
Legendre(mixed $coef, mixed $x): mixed
Legendre series evaluated at x (numpy.polynomial.Legendre).
Polynomial
static
Polynomial(mixed $coef, mixed $x): mixed
Power-series polynomial evaluated at x (numpy.polynomial.Polynomial).
cheb2poly
static
cheb2poly(mixed $c): mixed
Convert a Chebyshev series to a power series (numpy.polynomial.chebyshev.cheb2poly).
chebadd
static
chebadd(mixed $c1, mixed $c2): mixed
Sum of two Chebyshev series (numpy.polynomial.chebyshev.chebadd).
chebcompanion
static
chebcompanion(mixed $c): mixed
Companion matrix of a Chebyshev series (numpy.polynomial.chebyshev.chebcompanion).
chebder
static
chebder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a Chebyshev series (numpy.polynomial.chebyshev.chebder).
chebdiv
static
chebdiv(mixed $c1, mixed $c2): mixed
Quotient and remainder of Chebyshev-series division (numpy.polynomial.chebyshev.chebdiv).
chebdomain
static
chebdomain(): mixed
The default Chebyshev domain [-1, 1] (numpy.polynomial.chebyshev.chebdomain).
chebfit
static
chebfit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares Chebyshev-series fit (numpy.polynomial.chebyshev.chebfit).
chebfromroots
static
chebfromroots(mixed $roots): mixed
Chebyshev series with the given roots (numpy.polynomial.chebyshev.chebfromroots).
chebgauss
static
chebgauss(mixed $deg): mixed
Gauss-Chebyshev quadrature nodes and weights (numpy.polynomial.chebyshev.chebgauss).
chebgrid2d
static
chebgrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a Chebyshev series on a 2-D grid (numpy.polynomial.chebyshev.chebgrid2d).
chebgrid3d
static
chebgrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a Chebyshev series on a 3-D grid (numpy.polynomial.chebyshev.chebgrid3d).
chebint
static
chebint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a Chebyshev series (numpy.polynomial.chebyshev.chebint).
chebline
static
chebline(mixed $off, mixed $scl): mixed
Chebyshev series for off + scl*x (numpy.polynomial.chebyshev.chebline).
chebmul
static
chebmul(mixed $c1, mixed $c2): mixed
Product of two Chebyshev series (numpy.polynomial.chebyshev.chebmul).
chebmulx
static
chebmulx(mixed $c): mixed
Multiply a Chebyshev series by x (numpy.polynomial.chebyshev.chebmulx).
chebone
static
chebone(): mixed
The one Chebyshev series (numpy.polynomial.chebyshev.chebone).
chebpow
static
chebpow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
Chebyshev series raised to a power (numpy.polynomial.chebyshev.chebpow).
chebpts1
static
chebpts1(mixed $npts): mixed
Chebyshev points of the first kind (numpy.polynomial.chebyshev.chebpts1).
chebpts2
static
chebpts2(mixed $npts): mixed
Chebyshev points of the second kind (numpy.polynomial.chebyshev.chebpts2).
chebroots
static
chebroots(mixed $c): mixed
Roots of a Chebyshev series (numpy.polynomial.chebyshev.chebroots).
chebsub
static
chebsub(mixed $c1, mixed $c2): mixed
Difference of two Chebyshev series (numpy.polynomial.chebyshev.chebsub).
chebtrim
static
chebtrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.chebyshev.chebtrim).
chebval
static
chebval(mixed $x, mixed $c): mixed
Evaluate a Chebyshev series at x (numpy.polynomial.chebyshev.chebval).
chebval2d
static
chebval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D Chebyshev series (numpy.polynomial.chebyshev.chebval2d).
chebval3d
static
chebval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D Chebyshev series (numpy.polynomial.chebyshev.chebval3d).
chebvander
static
chebvander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the Chebyshev basis (numpy.polynomial.chebyshev.chebvander).
chebvander2d
static
chebvander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D Chebyshev basis (numpy.polynomial.chebyshev.chebvander2d).
chebvander3d
static
chebvander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D Chebyshev basis (numpy.polynomial.chebyshev.chebvander3d).
chebweight
static
chebweight(mixed $x): mixed
Chebyshev weight 1/sqrt(1-x^2) (numpy.polynomial.chebyshev.chebweight).
chebx
static
chebx(): mixed
The identity Chebyshev series x (numpy.polynomial.chebyshev.chebx).
chebzero
static
chebzero(): mixed
The zero Chebyshev series (numpy.polynomial.chebyshev.chebzero).
herm2poly
static
herm2poly(mixed $c): mixed
Convert a Hermite series to a power series (numpy.polynomial.hermite.herm2poly).
hermadd
static
hermadd(mixed $c1, mixed $c2): mixed
Sum of two Hermite series (numpy.polynomial.hermite.hermadd).
hermcompanion
static
hermcompanion(mixed $c): mixed
Companion matrix of a Hermite series (numpy.polynomial.hermite.hermcompanion).
hermder
static
hermder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a Hermite series (numpy.polynomial.hermite.hermder).
hermdiv
static
hermdiv(mixed $c1, mixed $c2): mixed
Quotient and remainder of Hermite-series division (numpy.polynomial.hermite.hermdiv).
hermdomain
static
hermdomain(): mixed
The default Hermite domain [-1, 1] (numpy.polynomial.hermite.hermdomain).
herme2poly
static
herme2poly(mixed $c): mixed
Convert a HermiteE series to a power series (numpy.polynomial.hermite_e.herme2poly).
hermeadd
static
hermeadd(mixed $c1, mixed $c2): mixed
Sum of two HermiteE series (numpy.polynomial.hermite_e.hermeadd).
hermecompanion
static
hermecompanion(mixed $c): mixed
Companion matrix of a HermiteE series (numpy.polynomial.hermite_e.hermecompanion).
hermeder
static
hermeder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a HermiteE series (numpy.polynomial.hermite_e.hermeder).
hermediv
static
hermediv(mixed $c1, mixed $c2): mixed
Quotient and remainder of HermiteE-series division (numpy.polynomial.hermite_e.hermediv).
hermedomain
static
hermedomain(): mixed
The default HermiteE domain [-1, 1] (numpy.polynomial.hermite_e.hermedomain).
hermefit
static
hermefit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares HermiteE-series fit (numpy.polynomial.hermite_e.hermefit).
hermefromroots
static
hermefromroots(mixed $roots): mixed
HermiteE series with the given roots (numpy.polynomial.hermite_e.hermefromroots).
hermegauss
static
hermegauss(mixed $deg): mixed
Gauss-HermiteE quadrature nodes and weights (numpy.polynomial.hermite_e.hermegauss).
hermegrid2d
static
hermegrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a HermiteE series on a 2-D grid (numpy.polynomial.hermite_e.hermegrid2d).
hermegrid3d
static
hermegrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a HermiteE series on a 3-D grid (numpy.polynomial.hermite_e.hermegrid3d).
hermeint
static
hermeint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a HermiteE series (numpy.polynomial.hermite_e.hermeint).
hermeline
static
hermeline(mixed $off, mixed $scl): mixed
HermiteE series for off + scl*x (numpy.polynomial.hermite_e.hermeline).
hermemul
static
hermemul(mixed $c1, mixed $c2): mixed
Product of two HermiteE series (numpy.polynomial.hermite_e.hermemul).
hermemulx
static
hermemulx(mixed $c): mixed
Multiply a HermiteE series by x (numpy.polynomial.hermite_e.hermemulx).
hermeone
static
hermeone(): mixed
The one HermiteE series (numpy.polynomial.hermite_e.hermeone).
hermepow
static
hermepow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
HermiteE series raised to a power (numpy.polynomial.hermite_e.hermepow).
hermeroots
static
hermeroots(mixed $c): mixed
Roots of a HermiteE series (numpy.polynomial.hermite_e.hermeroots).
hermesub
static
hermesub(mixed $c1, mixed $c2): mixed
Difference of two HermiteE series (numpy.polynomial.hermite_e.hermesub).
hermetrim
static
hermetrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.hermite_e.hermetrim).
hermeval
static
hermeval(mixed $x, mixed $c): mixed
Evaluate a HermiteE series at x (numpy.polynomial.hermite_e.hermeval).
hermeval2d
static
hermeval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D HermiteE series (numpy.polynomial.hermite_e.hermeval2d).
hermeval3d
static
hermeval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D HermiteE series (numpy.polynomial.hermite_e.hermeval3d).
hermevander
static
hermevander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the HermiteE basis (numpy.polynomial.hermite_e.hermevander).
hermevander2d
static
hermevander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D HermiteE basis (numpy.polynomial.hermite_e.hermevander2d).
hermevander3d
static
hermevander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D HermiteE basis (numpy.polynomial.hermite_e.hermevander3d).
hermeweight
static
hermeweight(mixed $x): mixed
HermiteE weight exp(-x^2/2) (numpy.polynomial.hermite_e.hermeweight).
hermex
static
hermex(): mixed
The identity HermiteE series x (numpy.polynomial.hermite_e.hermex).
hermezero
static
hermezero(): mixed
The zero HermiteE series (numpy.polynomial.hermite_e.hermezero).
hermfit
static
hermfit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares Hermite-series fit (numpy.polynomial.hermite.hermfit).
hermfromroots
static
hermfromroots(mixed $roots): mixed
Hermite series with the given roots (numpy.polynomial.hermite.hermfromroots).
hermgauss
static
hermgauss(mixed $deg): mixed
Gauss-Hermite quadrature nodes and weights (numpy.polynomial.hermite.hermgauss).
hermgrid2d
static
hermgrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a Hermite series on a 2-D grid (numpy.polynomial.hermite.hermgrid2d).
hermgrid3d
static
hermgrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a Hermite series on a 3-D grid (numpy.polynomial.hermite.hermgrid3d).
hermint
static
hermint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a Hermite series (numpy.polynomial.hermite.hermint).
hermline
static
hermline(mixed $off, mixed $scl): mixed
Hermite series for off + scl*x (numpy.polynomial.hermite.hermline).
hermmul
static
hermmul(mixed $c1, mixed $c2): mixed
Product of two Hermite series (numpy.polynomial.hermite.hermmul).
hermmulx
static
hermmulx(mixed $c): mixed
Multiply a Hermite series by x (numpy.polynomial.hermite.hermmulx).
hermone
static
hermone(): mixed
The one Hermite series (numpy.polynomial.hermite.hermone).
hermpow
static
hermpow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
Hermite series raised to a power (numpy.polynomial.hermite.hermpow).
hermroots
static
hermroots(mixed $c): mixed
Roots of a Hermite series (numpy.polynomial.hermite.hermroots).
hermsub
static
hermsub(mixed $c1, mixed $c2): mixed
Difference of two Hermite series (numpy.polynomial.hermite.hermsub).
hermtrim
static
hermtrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.hermite.hermtrim).
hermval
static
hermval(mixed $x, mixed $c): mixed
Evaluate a Hermite series at x (numpy.polynomial.hermite.hermval).
hermval2d
static
hermval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D Hermite series (numpy.polynomial.hermite.hermval2d).
hermval3d
static
hermval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D Hermite series (numpy.polynomial.hermite.hermval3d).
hermvander
static
hermvander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the Hermite basis (numpy.polynomial.hermite.hermvander).
hermvander2d
static
hermvander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D Hermite basis (numpy.polynomial.hermite.hermvander2d).
hermvander3d
static
hermvander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D Hermite basis (numpy.polynomial.hermite.hermvander3d).
hermweight
static
hermweight(mixed $x): mixed
Hermite weight exp(-x^2) (numpy.polynomial.hermite.hermweight).
hermx
static
hermx(): mixed
The identity Hermite series x (numpy.polynomial.hermite.hermx).
hermzero
static
hermzero(): mixed
The zero Hermite series (numpy.polynomial.hermite.hermzero).
lag2poly
static
lag2poly(mixed $c): mixed
Convert a Laguerre series to a power series (numpy.polynomial.laguerre.lag2poly).
lagadd
static
lagadd(mixed $c1, mixed $c2): mixed
Sum of two Laguerre series (numpy.polynomial.laguerre.lagadd).
lagcompanion
static
lagcompanion(mixed $c): mixed
Companion matrix of a Laguerre series (numpy.polynomial.laguerre.lagcompanion).
lagder
static
lagder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a Laguerre series (numpy.polynomial.laguerre.lagder).
lagdiv
static
lagdiv(mixed $c1, mixed $c2): mixed
Quotient and remainder of Laguerre-series division (numpy.polynomial.laguerre.lagdiv).
lagdomain
static
lagdomain(): mixed
The default Laguerre domain [0, 1] (numpy.polynomial.laguerre.lagdomain).
lagfit
static
lagfit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares Laguerre-series fit (numpy.polynomial.laguerre.lagfit).
lagfromroots
static
lagfromroots(mixed $roots): mixed
Laguerre series with the given roots (numpy.polynomial.laguerre.lagfromroots).
laggauss
static
laggauss(mixed $deg): mixed
Gauss-Laguerre quadrature nodes and weights (numpy.polynomial.laguerre.laggauss).
laggrid2d
static
laggrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a Laguerre series on a 2-D grid (numpy.polynomial.laguerre.laggrid2d).
laggrid3d
static
laggrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a Laguerre series on a 3-D grid (numpy.polynomial.laguerre.laggrid3d).
lagint
static
lagint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a Laguerre series (numpy.polynomial.laguerre.lagint).
lagline
static
lagline(mixed $off, mixed $scl): mixed
Laguerre series for off + scl*x (numpy.polynomial.laguerre.lagline).
lagmul
static
lagmul(mixed $c1, mixed $c2): mixed
Product of two Laguerre series (numpy.polynomial.laguerre.lagmul).
lagmulx
static
lagmulx(mixed $c): mixed
Multiply a Laguerre series by x (numpy.polynomial.laguerre.lagmulx).
lagone
static
lagone(): mixed
The one Laguerre series (numpy.polynomial.laguerre.lagone).
lagpow
static
lagpow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
Laguerre series raised to a power (numpy.polynomial.laguerre.lagpow).
lagroots
static
lagroots(mixed $c): mixed
Roots of a Laguerre series (numpy.polynomial.laguerre.lagroots).
lagsub
static
lagsub(mixed $c1, mixed $c2): mixed
Difference of two Laguerre series (numpy.polynomial.laguerre.lagsub).
lagtrim
static
lagtrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.laguerre.lagtrim).
lagval
static
lagval(mixed $x, mixed $c): mixed
Evaluate a Laguerre series at x (numpy.polynomial.laguerre.lagval).
lagval2d
static
lagval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D Laguerre series (numpy.polynomial.laguerre.lagval2d).
lagval3d
static
lagval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D Laguerre series (numpy.polynomial.laguerre.lagval3d).
lagvander
static
lagvander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the Laguerre basis (numpy.polynomial.laguerre.lagvander).
lagvander2d
static
lagvander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D Laguerre basis (numpy.polynomial.laguerre.lagvander2d).
lagvander3d
static
lagvander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D Laguerre basis (numpy.polynomial.laguerre.lagvander3d).
lagweight
static
lagweight(mixed $x): mixed
Laguerre weight exp(-x) (numpy.polynomial.laguerre.lagweight).
lagx
static
lagx(): mixed
The identity Laguerre series x (numpy.polynomial.laguerre.lagx).
lagzero
static
lagzero(): mixed
The zero Laguerre series (numpy.polynomial.laguerre.lagzero).
leg2poly
static
leg2poly(mixed $c): mixed
Convert a Legendre series to a power series (numpy.polynomial.legendre.leg2poly).
legadd
static
legadd(mixed $c1, mixed $c2): mixed
Sum of two Legendre series (numpy.polynomial.legendre.legadd).
legcompanion
static
legcompanion(mixed $c): mixed
Companion matrix of a Legendre series (numpy.polynomial.legendre.legcompanion).
legder
static
legder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a Legendre series (numpy.polynomial.legendre.legder).
legdiv
static
legdiv(mixed $c1, mixed $c2): mixed
Quotient and remainder of Legendre-series division (numpy.polynomial.legendre.legdiv).
legdomain
static
legdomain(): mixed
The default Legendre domain [-1, 1] (numpy.polynomial.legendre.legdomain).
legfit
static
legfit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares Legendre-series fit (numpy.polynomial.legendre.legfit).
legfromroots
static
legfromroots(mixed $roots): mixed
Legendre series with the given roots (numpy.polynomial.legendre.legfromroots).
leggauss
static
leggauss(mixed $deg): mixed
Gauss-Legendre quadrature nodes and weights (numpy.polynomial.legendre.leggauss).
leggrid2d
static
leggrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a Legendre series on a 2-D grid (numpy.polynomial.legendre.leggrid2d).
leggrid3d
static
leggrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a Legendre series on a 3-D grid (numpy.polynomial.legendre.leggrid3d).
legint
static
legint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a Legendre series (numpy.polynomial.legendre.legint).
legline
static
legline(mixed $off, mixed $scl): mixed
Legendre series for off + scl*x (numpy.polynomial.legendre.legline).
legmul
static
legmul(mixed $c1, mixed $c2): mixed
Product of two Legendre series (numpy.polynomial.legendre.legmul).
legmulx
static
legmulx(mixed $c): mixed
Multiply a Legendre series by x (numpy.polynomial.legendre.legmulx).
legone
static
legone(): mixed
The one Legendre series (numpy.polynomial.legendre.legone).
legpow
static
legpow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
Legendre series raised to a power (numpy.polynomial.legendre.legpow).
legroots
static
legroots(mixed $c): mixed
Roots of a Legendre series (numpy.polynomial.legendre.legroots).
legsub
static
legsub(mixed $c1, mixed $c2): mixed
Difference of two Legendre series (numpy.polynomial.legendre.legsub).
legtrim
static
legtrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.legendre.legtrim).
legval
static
legval(mixed $x, mixed $c): mixed
Evaluate a Legendre series at x (numpy.polynomial.legendre.legval).
legval2d
static
legval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D Legendre series (numpy.polynomial.legendre.legval2d).
legval3d
static
legval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D Legendre series (numpy.polynomial.legendre.legval3d).
legvander
static
legvander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the Legendre basis (numpy.polynomial.legendre.legvander).
legvander2d
static
legvander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D Legendre basis (numpy.polynomial.legendre.legvander2d).
legvander3d
static
legvander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D Legendre basis (numpy.polynomial.legendre.legvander3d).
legweight
static
legweight(mixed $x): mixed
Legendre weight, identically 1 (numpy.polynomial.legendre.legweight).
legx
static
legx(): mixed
The identity Legendre series x (numpy.polynomial.legendre.legx).
legzero
static
legzero(): mixed
The zero Legendre series (numpy.polynomial.legendre.legzero).
poly2cheb
static
poly2cheb(mixed $pol): mixed
Convert a power series to a Chebyshev series (numpy.polynomial.chebyshev.poly2cheb).
poly2herm
static
poly2herm(mixed $pol): mixed
Convert a power series to a Hermite series (numpy.polynomial.hermite.poly2herm).
poly2herme
static
poly2herme(mixed $pol): mixed
Convert a power series to a HermiteE series (numpy.polynomial.hermite_e.poly2herme).
poly2lag
static
poly2lag(mixed $pol): mixed
Convert a power series to a Laguerre series (numpy.polynomial.laguerre.poly2lag).
poly2leg
static
poly2leg(mixed $pol): mixed
Convert a power series to a Legendre series (numpy.polynomial.legendre.poly2leg).
polyadd
static
polyadd(mixed $c1, mixed $c2): mixed
Sum of two power series (numpy.polynomial.polynomial.polyadd).
polycompanion
static
polycompanion(mixed $c): mixed
Companion matrix of a power series (numpy.polynomial.polynomial.polycompanion).
polyder
static
polyder(mixed $c, mixed $m = 1, mixed $scl = 1): mixed
Derivative of a power series (numpy.polynomial.polynomial.polyder).
polydiv
static
polydiv(mixed $c1, mixed $c2): mixed
Quotient and remainder of power-series division (numpy.polynomial.polynomial.polydiv).
polydomain
static
polydomain(): mixed
The default power-basis domain [-1, 1] (numpy.polynomial.polynomial.polydomain).
polyfit
static
polyfit(mixed $x, mixed $y, mixed $deg): mixed
Least-squares power-series fit (numpy.polynomial.polynomial.polyfit).
polyfromroots
static
polyfromroots(mixed $roots): mixed
Power series with the given roots (numpy.polynomial.polynomial.polyfromroots).
polygrid2d
static
polygrid2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D power series on the grid x by y (numpy.polynomial.polynomial.polygrid2d).
polygrid3d
static
polygrid3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D power series on the grid x by y by z (numpy.polynomial.polynomial.polygrid3d).
polyint
static
polyint(mixed $c, mixed $m = 1, mixed $k = 0, mixed $lbnd = 0, mixed $scl = 1): mixed
Antiderivative of a power series (numpy.polynomial.polynomial.polyint).
polyline
static
polyline(mixed $off, mixed $scl): mixed
Power series for off + scl*x (numpy.polynomial.polynomial.polyline).
polymul
static
polymul(mixed $c1, mixed $c2): mixed
Product of two power series (numpy.polynomial.polynomial.polymul).
polymulx
static
polymulx(mixed $c): mixed
Multiply a power series by x (numpy.polynomial.polynomial.polymulx).
polyone
static
polyone(): mixed
The one power series (numpy.polynomial.polynomial.polyone).
polypow
static
polypow(mixed $c, mixed $pow, mixed $maxpower = 16): mixed
Power series raised to an integer power (numpy.polynomial.polynomial.polypow).
polyroots
static
polyroots(mixed $c): mixed
Roots of a power series (numpy.polynomial.polynomial.polyroots).
polysub
static
polysub(mixed $c1, mixed $c2): mixed
Difference of two power series (numpy.polynomial.polynomial.polysub).
polytrim
static
polytrim(mixed $c, mixed $tol = 0): mixed
Trim trailing small coefficients (numpy.polynomial.polynomial.polytrim).
polyval
static
polyval(mixed $x, mixed $c): mixed
Evaluate a power-series polynomial at x (numpy.polynomial.polynomial.polyval).
polyval2d
static
polyval2d(mixed $x, mixed $y, mixed $c): mixed
Evaluate a 2-D power series at points (x, y) (numpy.polynomial.polynomial.polyval2d).
polyval3d
static
polyval3d(mixed $x, mixed $y, mixed $z, mixed $c): mixed
Evaluate a 3-D power series at points (x, y, z) (numpy.polynomial.polynomial.polyval3d).
polyvalfromroots
static
polyvalfromroots(mixed $x, mixed $r): mixed
Evaluate a polynomial from its roots (numpy.polynomial.polynomial.polyvalfromroots).
polyvander
static
polyvander(mixed $x, mixed $deg): mixed
Pseudo-Vandermonde matrix of the power basis (numpy.polynomial.polynomial.polyvander).
polyvander2d
static
polyvander2d(mixed $x, mixed $y, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 2-D power basis (numpy.polynomial.polynomial.polyvander2d).
polyvander3d
static
polyvander3d(mixed $x, mixed $y, mixed $z, mixed $deg): mixed
Pseudo-Vandermonde matrix of a 3-D power basis (numpy.polynomial.polynomial.polyvander3d).
polyx
static
polyx(): mixed
The identity power series x (numpy.polynomial.polynomial.polyx).
polyzero
static
polyzero(): mixed
The zero power series (numpy.polynomial.polynomial.polyzero).