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arxiv: 1411.7244 · v1 · pith:NBATXJY6new · submitted 2014-11-26 · 🧮 math.CA

On the generalized Dixon integral equation

classification 🧮 math.CA
keywords dixonequationgeneralizedintegralseriesanalyticderiveddouble
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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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