DEVELOPMENT OF A GAUSSIAN HYPERGEOMETRIC FUNCTION CODE IN COMPLEX DOMAINS

Yupai P. Hsu
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Yupai P. Hsu: Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877, USA

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 04, 805-840

Abstract: The analytic properties of the Gaussian hypergeometric function is reviewed and applied to the development of a Fortran function code. The code developed can be used to evaluate the hypergeometric function on the whole complex plane with arbitrary complex parametric values. In the process of numerically verifying the code, a trigonometric identity involving the hypergeometric function listed in most of the mathematical handbooks is found to be incorrectly stated.

Keywords: Special Functions; Complex Variables (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:04:y:1993:i:04:n:s0129183193000665

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DOI: 10.1142/S0129183193000665

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