A New Generating Function for Hermite Polynomials

2023/08/30 by Manouchehr Amiri, Amiri, Manouchehr
Mathematics · #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2308.16209

Abstract

This paper presents a new generating function for Hermite polynomials of one variable in the form of g(x,t)=∑_n=0^∞ tⁿH^e_n(x) and reveals its connection with incomplete gamma function.

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