Algorithm 644

1986/09/01 by D. E. Amos · 4 citations
Mathematics · #Mathematical functions and polynomials

paper · pdf · doi:10.1145/7921.214331

Abstract

This algorithm is a package of subroutines for Computing Bessel functions H v (1) ( z ), H v (2) ( z ), I v (z) , J v (z) , K v (z) , Y v (z) and Airy functions Ai( z ), Ai′( z ), Bi( z ), Bi′( z ) for orders v ≥0 and complex z in −π<arg z ≤π. Eight callable subroutines and their double-precision counterparts are provided. Exponential scaling and sequence generation are auxiliary options.

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• Computation of asymptotic expansions of turning point problems via Cauchy's integral formula: Bessel functions

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