boostmath (version 1.0.0)

hypergeometric_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)

Value

A single numeric value with the computed hypergeometric function.

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

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)