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Apparent singular points of factors of reducible generalized hypergeometric equations

Classical Analysis and ODEs 2012-04-17 v1

Abstract

We consider a reducible generalized hypergeometric equation, whose sub-equation possesses apparent singular points. We determine the polynomial whose roots are these points. We show that this polynomial is a generalized hypergeometric polynomial. Key Words and Phrases. the generalized hypergeometric equation, reducible, apparent singular point, minor of Wronskian.

Keywords

Cite

@article{arxiv.1204.3400,
  title  = {Apparent singular points of factors of reducible generalized hypergeometric equations},
  author = {Akihito Ebisu},
  journal= {arXiv preprint arXiv:1204.3400},
  year   = {2012}
}

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7pages