Series with Hermite Polynomials and Applications
Number Theory
2017-10-03 v1
Abstract
We obtain a series transformation formula involving the classical Hermite polynomials. We then provide a number of applications using appropriate binomial transformations. Several of the new series involve Hermite polynomials and harmonic numbers, Lucas sequences, exponential and geometric numbers. We also obtain a series involving both Hermite and Laguerre polynomials, and a series with Hermite polynomials and Stirling numbers of the second kind.
Keywords
Cite
@article{arxiv.1710.00687,
title = {Series with Hermite Polynomials and Applications},
author = {Khristo N. Boyadzhiev and Ayhan Dil},
journal= {arXiv preprint arXiv:1710.00687},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1006.2505