Hypergeometric functions 0F1, 1F1 and 2F1 of real or complex arguments are supported as power series. These make available Bessel J, Y, I and K functions on the complex plane, as well as Airy Ai and Bi functions and Hankel functions. Elliptic integrals and elliptic functions of real or complex arguments are available using Carlson symmetric integrals and Jacobi theta function power series. Weierstrass elliptic functions and related support functions are available. Hermite, Laguerre, Legendre and Chebyshev polynomials as well as spherical harmonics are supported.
Supported operations include numerical differentiation and integration of complex functions, integration of ordinary differential equations for real values, eigensystems of real symmetric matrices, real or complex root finding, multidimensional real root finding, real cubic splines and Fourier analysis.
This library and MathCell power the interactive elements of Analytic Physics.