On the generalized Dixon integral equation

preprint2014arXivOpen access

Abstract

A unique analytic solution of the generalized Dixon nonhomogeneous integral equation is derived in C1[0,A], A>0C^{1}[0,A],\ A > 0. It is written in terms of the Neumann series, which is expressed as a double series of residues at multiple poles of powers of the gamma-function.

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