On the Carlitz-Mehler formula for Hermite polynomials

Fuente: arXiv
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Main Author: Chaurasia, Manish
Format: Preprint
Published: 2025
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author Chaurasia, Manish
author_facet Chaurasia, Manish
contents Carlitz proved a few generalizations of Mehler's formula. Later, Srivastava et al. gave a new proof for some extensions of Carlitz's formula. Here, a direct proof of the further generalization is given.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12676
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Carlitz-Mehler formula for Hermite polynomials
Chaurasia, Manish
Classical Analysis and ODEs
Combinatorics
Carlitz proved a few generalizations of Mehler's formula. Later, Srivastava et al. gave a new proof for some extensions of Carlitz's formula. Here, a direct proof of the further generalization is given.
title On the Carlitz-Mehler formula for Hermite polynomials
topic Classical Analysis and ODEs
Combinatorics
url https://arxiv.org/abs/2508.12676