Apparent singular points of factors of reducible generalized hypergeometric equations | Zendy

Ebisu Akihito | Zendy

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Apparent singular points of factors of reducible generalized hypergeometric equations

Author(s) -

Ebisu Akihito

Publication year - 2014

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201200186

Subject(s) - mathematics , basic hypergeometric series , generalized hypergeometric function , frobenius solution to the hypergeometric equation , hypergeometric distribution , regular singular point , polynomial , hypergeometric function , confluent hypergeometric function , hypergeometric function of a matrix argument , pure mathematics , mathematical analysis , singular integral , integral equation

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.

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