On the Relation between Pincherle's Polynomials and the Hypergeometric Function

1. The Pincherle polynomials are defined as the coefficients in the expansion of {1 − 3 tx + t3}−½ in ascending powers of t. If the coefficient of tn be denoted by Pn(x), then the polynomials satisfy the difference equation and Pn(x) satisfies the differential equation

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 1920-02, Vol.39, p.58-62
Main Author: Baker, Bevan B.
Format: Article
Language:English
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Summary:1. The Pincherle polynomials are defined as the coefficients in the expansion of {1 − 3 tx + t3}−½ in ascending powers of t. If the coefficient of tn be denoted by Pn(x), then the polynomials satisfy the difference equation and Pn(x) satisfies the differential equation
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091500035781