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IJMSI 2026, 21(1): 161-172 |
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Belafhal A, El Halba E M, Usman T. Certain Reduction Formulas for Kampé De Fériet Functions and Their Application in Laser Physics. IJMSI 2026; 21 (1) :161-172
URL: http://ijmsi.ir/article-1-2257-en.html
URL: http://ijmsi.ir/article-1-2257-en.html
Abstract:
Many works are elaborated to derive interesting identities for hypergeometric-type series containing as a factor a digamma function. In the present paper, new reduction formulae for Kampé de Fériet series of types F2:1;0 1:2;1 and F3:1;0 2:2;1 are performed. By specializing certain parameters, series identities and related reduction identities are deduced. An interesting application is also studied concerning the evaluation of the average intensity of a multi-Gaussian beam propagating through a turbulent atmosphere.
Keywords: Generalized hypergeometric function, Kampé de Fériet function, Incomplete gamma functions, Hyperbolic sine and cosine integral functions.
Type of Study: Research paper |
Subject:
General
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