bessel_i
ChatGPTComputes modified Bessel function I of order n at x.
Education & Research
Overview
Precise Special Functions computes high-precision values of specialized mathematical functions: Bessel (J, Y, I, K), Riemann zeta, Gauss hypergeometric ₂F₁, complete elliptic integrals (K and E), and the Gamma function. Backed by arbitrary-precision arithmetic via mpmath — up to 1000 decimal digits. Suited for physics simulations, number theory, engineering calculations, and any context where a standard float or an inline code approximation is not precise enough. Every result is deterministic and cross-checkable against reference implementations. Ask naturally: "what is J₀(7.2) to 30 digits" and you get an exact value.
Tools
bessel_j
ChatGPTComputes Bessel function J of order n at x.
bessel_k
ChatGPTComputes modified Bessel function K of order n at x.
bessel_y
ChatGPTComputes Bessel function Y of order n at x.
elliptic_ke
ChatGPTComputes the complete elliptic integral of the first or second kind.
gamma
ChatGPTComputes the Gamma function at z.
hyp2f1
ChatGPTComputes the Gauss hypergeometric function 2F1(a, b, c, z).
riemann_zeta
ChatGPTComputes the Riemann zeta function at s.
