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A portable package for Bessel functions of a complex argument and nonnegative order. (English) Zbl 0613.65013
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 $$v\geq 0$$ and complex z in $$-\pi <\arg z\leq \pi$$. Eight callable subroutines and their double-precision counterparts are provided. Exponential scaling and sequence generation are auxiliary options.

MSC:
 65D20 Computation of special functions and constants, construction of tables 33-04 Software, source code, etc. for problems pertaining to special functions 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$
Algorithm 644
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