Apparent singular points of factors of reducible generalized\n hypergeometric equations
Akihito Ebisu
Abstract
Open-access reader
Akihito Ebisu
Abstract
Open-access reader
We consider a reducible generalized hypergeometric equation, whose\nsub-equation possesses apparent singular points. We determine the polynomial\nwhose roots are these points. We show that this polynomial is a generalized\nhypergeometric polynomial.\n Key Words and Phrases. the generalized hypergeometric equation, reducible,\napparent singular point, minor of Wronskian.\n
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We consider a reducible generalized hypergeometric equation, whose\nsub-equation possesses apparent singular points. We determine the polynomial\nwhose roots are these points. We show that this polynomial is a generalized\nhypergeometric polynomial.\n Key Words and Phrases. the generalized hypergeometric equation, reducible,\napparent singular point, minor of Wronskian.\n
Key concepts: Wronskian, Frobenius solution to the hypergeometric equation, Regular singular point, Basic hypergeometric series, Generalized hypergeometric function, Hypergeometric distribution, Hypergeometric function of a matrix argument, Confluent hypergeometric function