Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder

DOI10.1080/10652469.2019.1578222zbMath1408.33011OpenAlexW2912166825MaRDI QIDQ4629077

Orion Ciftja, Tibor K. Pogány, Josep Batle

Publication date: 25 March 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1578222

zbMATH Keywords

Bessel function of the first kindgeneralized hypergeometric functionGaussian hypergeometric functionintegral formclosed formAppell function \(F_4\)Kampé de Fériet hypergeometric function of two variables

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (1)

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Uses Software

• DLMF

Cites Work

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• Off-axis electric field of a ring of charge
• Laplace transform of products of Bessel functions: A visitation of earlier formulas
• The electrostatic potential of a uniformly charged ring
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Equilibrium charge distribution on a finite straight one-dimensional wire
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series

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