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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, \({}_0F_1\)
Software:
Algorithm 644
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