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arXiv · 1411.7244

On the generalized Dixon integral equation

Semyon Yakubovich
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Abstract

A unique analytic solution of the generalized Dixon nonhomogeneous integral equation is derived in $C^{1}[0,A],\ A > 0$. 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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Semyon Yakubovich. 2014-11-26. On the generalized Dixon integral equation. https://arxiv.org/abs/1411.7244

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