On the Carlitz-Mehler formula for Hermite polynomials
Classical Analysis and ODEs
2026-05-11 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.2508.12676,
title = {On the Carlitz-Mehler formula for Hermite polynomials},
author = {Manish Chaurasia},
journal= {arXiv preprint arXiv:2508.12676},
year = {2026}
}
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