Certain integral transforms involving Appell and Bessel functions and their applications

DOI10.1515/anly-2022-1088OpenAlexW4313893686MaRDI QIDQ6038461

Talha Usman, A. Belafhal, Latifa Dalil-Essakali, Naima Nossir

Publication date: 2 May 2023

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2022-1088

zbMATH Keywords

integral transformshypergeometric functionsBessel functionsAppell functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Appell, Horn and Lauricella functions (33C65) Basic methods for problems in optics and electromagnetic theory (78M99) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• An integral transform involving the product of Bessel functions and Whittaker function and its application
• Integral transforms involving orthogonal polynomials and its application in diffraction of cylindrical waves
• Evaluation of integral transforms using special functions with applications to biological tissues
• An integral transform and its application in the propagation of Lorentz-Gaussian beams
• Infinite integrals of Whittaker and Bessel functions with respect to their indices
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