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arXiv · 2409.16034

On a class of Rainville type generating functions for classical orthogonal polynomials

Mohammed Brahim Zahaf·Mohammed Mesk
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Abstract

The aim of this work is to characterize all generating functions of the form $A(t)F(xtA(t)-R(t))$ for the classical orthogonal polynomials. Further generating functions are also provided by derivation.

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Mohammed Brahim Zahaf, Mohammed Mesk. 2024-09-24. On a class of Rainville type generating functions for classical orthogonal polynomials. https://arxiv.org/abs/2409.16034

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