Computation of Bessel functions of complex argument and large order
Computer implementation of uniform asymptotic expansions of Olver for H/sub nu//sup (1)/(z), H/sub nu//sup (2)/(z), I/sub nu/(z), J/sub nu/(z) and K/sub nu/(z) for nu ..-->.. infinity is discussed for the right half complex plane Re z greater than or equal to 0. Analytic continuation formulae applied to the right half z plane continue these functions to the cut plane -..pi.. < arg z less than or equal to ..pi... The object of this study is to manipulate these expansions into forms suitable for numerical evaluation. The utility comes about because small errors are obtained at relatively small orders with computer costs which decrease with increasing order. It is therefore reasonable to expect that the efficiency of a general computing package can be enhanced by a proper implementation of formulae of this kind.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5903937
- Report Number(s):
- SAND-83-0643; ON: DE83014463
- Country of Publication:
- United States
- Language:
- English
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