Riccati equations and convolution formulae for functions of Rayleigh type

DOI10.1088/0305-4470/33/7/306zbMath0953.33003arXivmath/9910128OpenAlexW1968714892MaRDI QIDQ4495959

Dharma P. Gupta, Martin E. Muldoon

Publication date: 13 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910128

zbMATH Keywords

confluent hypergeometric functionszeros of Bessel functionsRayleigh functions

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (6)

Convolutions of Rayleigh functions and their application to semi-linear equations in circular domains ⋮ Special functions arising in the study of semi-linear equations in circular domains ⋮ Simple proofs of classical results on zeros of \(J_{\nu}(x)\) and \(J'_{\nu}(x)\) ⋮ Global solutions and smoothing effects for semi-linear evolution equations in circular domains ⋮ On Rayleigh-type formulas for a non-local boundary value problem associated with an integral operator commuting with the Laplacian ⋮ Convolution of Rayleigh functions with respect to the Bessel index

This page was built for publication: Riccati equations and convolution formulae for functions of Rayleigh type