Apparent singular points of factors of reducible generalized hypergeometric equations

preprint2012arXivOpen access

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.

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