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Zbl 0613.65013
Amos, D.E.
A portable package for Bessel functions of a complex argument and nonnegative order. (English)
[J] ACM Trans. Math. Softw. 12, 265-273 (1986). ISSN 0098-3500

This algorithm is a package of subroutines for computing Bessel functions $H\sb v\sp{(1)}(z)$, $H\sb v\sp{(2)}(z)$, $I\sb v(z)$, $J\sb v(z)$, $K\sb v(z)$, $Y\sb v(z)$ and Airy functions Ai(z), Ai'(z), Bi(z), Bi'(z) for orders $v\ge 0$ and complex z in $-\pi <\arg z\le \pi$. Eight callable subroutines and their double-precision counterparts are provided. Exponential scaling and sequence generation are auxiliary options.

MSC 2000:: *65D20 Computation of special functions
33-04 Machine computation, programs (special functions)
33C10 Cylinder functions, etc.

Keywords: log gamma function; algorithm; package of subroutines; Bessel functions; Airy functions; Exponential scaling; sequence generation

Cited in: Zbl 1031.65033 Zbl 0888.65016 Zbl 0804.65022 Zbl 0900.65032

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