toms

Documentation

Overview

Package toms implements functions from Algorithm 757, Transactions on Mathematical Software

Index

• func AIRYGI(XVALUE float64) float64
• func AIRYHI(XVALUE float64) float64

Functions

func AIRYGI

func AIRYGI(XVALUE float64) float64

AIRYGI calculates the modified Airy function Gi(x)

∫  0 to infinity sin(x*t+t^3/3) dt  / pi

The code uses Chebyshev expansions with the coefficients given to an accuracy of 20 decimal places.

func AIRYHI

func AIRYHI(XVALUE float64) float64

AIRYHI calculates the modified Airy function Hi(x),

∫  0 to infinity exp(x*t-t^3/3) dt  / pi

The code uses Chebyshev expansions with the coefficients given to an accuracy of 20 decimal places. If x is too large, then the asymptotic expansion of Hi(x) will cause an overflow and the function returns Inf