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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.