Akihito Ebisu
Abstract
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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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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 concepts: Wronskian, Frobenius solution to the hypergeometric equation, Regular singular point, Basic hypergeometric series, Generalized hypergeometric function, Mathematics, Hypergeometric distribution, Confluent hypergeometric function