A New Generating Function for Hermite Polynomials

Manouchehr Amiri

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arXiv · 2308.16209

A New Generating Function for Hermite Polynomials

Manouchehr Amiri

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Abstract

This paper presents a new generating function for Hermite polynomials of one variable in the form of $g(x,t)=\sum_{n=0}^{\infty }t^{n}H^{e}_{n}(x)$ and reveals its connection with incomplete gamma function.

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Manouchehr Amiri. 2023-08-30. A New Generating Function for Hermite Polynomials. https://arxiv.org/abs/2308.16209

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