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On the Relation between Pincherle's Polynomials and the Hypergeometric Function
Published online by Cambridge University Press: 20 January 2009
Extract
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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- Research Article
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- Copyright © Edinburgh Mathematical Society 1920
References
* Pincherle, S.. Mem. della R. Accad. di Bologna, S. 5, T. I. (1890), p. 337Google Scholar
† Humbert, , Proc. Edin. Math. Soc., (1921).Google Scholar
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