Unified treatment for the evaluation of generalized complete and incomplete gamma functions

DOI10.1016/j.cam.2006.02.038zbMath1113.65020OpenAlexW2094601141MaRDI QIDQ875386

I. I. Guseinov, Bahtiyar A. Mamedov

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.038

zbMATH Keywords

algorithmgamma functionnumerical resultsscatteringdiffractionexponential integral functionbinomial expansion theorem

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

A certain generalized Pochhammer symbol and its applications to hypergeometric functions

Cites Work

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• Use of analytical relations in evaluation of exponential integral functions
• Fast evaluation of molecular auxiliary functions \(A_{\alpha }\) and \(B_{n}\) by analytical relations
• Evaluation of incomplete gamma functions using downward recursion and analytical relations
• A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions
• On Generalized Gamma Functions Occurring in Diffraction Theory^*

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