On certain triple integral equations
type: Item
instance of: scholarly article
title: On certain triple integral equations
zbMATH Open document ID: 0558.45004
author: A. N. Mehra
author: O. P. Varma
published in: National Academy Science Letters
publication date: 1983-01-01T00:00:00Z
review text: The authors derive a solution of a set of triple integral equations associated with the ordinary Bessel function of the first kind \(J_{\nu}(x)\). The method employed is essentially that of \textit{J. C. Cooke} [Q. J. Mech. Appl. Math. 18, 57-72 (1965; Zbl 0195.401)]. The operators of fractional integration employed in the process are modified Lowndes operators of the generalized Hankel transform and generalized Erdelyi-Kober operators whose properties are given earlier by the reviewer and \textit{P. L. Sethi} [Proc. Natl. Acad. Sci. India, Sect. A 42, 57-61 (1972; Zbl 0318.45012)].
Mathematics Subject Classification ID: 45F10
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 3890121
zbMATH Keywords: triple integral equations
zbMATH Keywords: Bessel function of the first kind
zbMATH Keywords: operators of fractional integration
zbMATH Keywords: modified Lowndes operators
zbMATH Keywords: generalized Hankel transform
zbMATH Keywords: generalized Erdelyi-Kober operators
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description: scientific article; zbMATH DE number 3890121