hypergeometric_functions: Hypergeometric Functions

In boostmath: 'R' Bindings for the 'Boost' Math Functions

Hypergeometric Functions

Description

Functions to compute various hypergeometric functions.

Usage

hypergeometric_1F0(a, z)

hypergeometric_0F1(b, z)

hypergeometric_2F0(a1, a2, z)

hypergeometric_1F1(a, b, z)

hypergeometric_1F1_regularized(a, b, z)

log_hypergeometric_1F1(a, b, z)

hypergeometric_pFq(a, b, z)

Arguments

a	Parameter of the hypergeometric function
z	Argument of the hypergeometric function
b	Second parameter of the hypergeometric function
a1	First parameter of the hypergeometric function
a2	Second parameter of the hypergeometric function

Value

A single numeric value with the computed hypergeometric function.

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Hypergeometric Function 1F0
hypergeometric_1F0(2, 0.2)
# Hypergeometric Function 0F1
hypergeometric_0F1(1, 0.8)
# Hypergeometric Function 2F0
hypergeometric_2F0(0.1, -1, 0.1)
# Hypergeometric Function 1F1
hypergeometric_1F1(2, 3, 1)
# Regularised Hypergeometric Function 1F1
hypergeometric_1F1_regularized(2, 3, 1)
# Logarithm of the Hypergeometric Function 1F1
log_hypergeometric_1F1(2, 3, 1)
# Hypergeometric Function pFq
hypergeometric_pFq(c(2, 3), c(4, 5), 6)

boostmath documentation built on Dec. 15, 2025, 5:07 p.m.