2012/80/3-4 (10) — DOI: 10.5486/PMD.2012.5072 — pp. 385-404
Full Text Abstract

Series with Hermite polynomials and applications

Authors: Khristo N. Boyadzhiev and Ayhan Dil

Keywords: Hermite polynomials, Laguerre polynomials, harmonic numbers, Fibonacci numbers, exponential numbers, geometric numbers, Stirling numbers of the second kind, binomial transformation, Euler series transformation, generating functions

Mathematics Subject Classification: 11B83, 33C45, 05A19, 11B39, 11B73