English

On the generalized Dixon integral equation

Classical Analysis and ODEs 2014-11-27 v1

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.

Cite

@article{arxiv.1411.7244,
  title  = {On the generalized Dixon integral equation},
  author = {Semyon Yakubovich},
  journal= {arXiv preprint arXiv:1411.7244},
  year   = {2014}
}
R2 v1 2026-06-22T07:13:11.609Z