E.V.E
v2023.02.15
 
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Polynomial functions

Detailed Description

Convenience header:

#include <eve/module/polynomial.hpp>

Variables

constexpr auto eve::newton = functor<newton_t>
 Implement the Newton scheme to evaluate polynomials.
 
constexpr auto eve::abel = functor<abel_t>
 Computes the value of the Abel polynomial of order n at x: \(x(x-an)^{n-1}\).
 
constexpr auto eve::gegenbauer = functor<gegenbauer_t>
 strict_elementwise_callable object computing the value of a gegenbauer polynomial \( \mathbf{C}_n^\lambda(x)\).
 
constexpr auto eve::hermite = functor<hermite_t>
 strict_elementwise_callable object computing the value of the 'physicists' Hermite polynomial of order n at x:
 
constexpr auto eve::jacobi = functor<jacobi_t>
 strict_elementwise_callable object computing the value of the Jacobi polynomials \(P^{\alpha, \beta}_n(x)\).
 
constexpr auto eve::laguerre = functor<laguerre_t>
 strict_elementwise_callable object computing the value of the Laguerre and associated Laguerre polynomials of order n at x:
 
constexpr auto eve::legendre = functor<legendre_t>
 Computes the value of the Legendre and associated Legendre polynomials of order n at x:
 
constexpr auto eve::tchebytchev = functor<tchebytchev_t>
 Computes the value of the Tchebytchev polynomial of order n at x: