Series with Hermite polynomials and applications

DOI10.5486/PMD.2012.5072zbMath1263.11039arXiv1710.00687OpenAlexW3100452085MaRDI QIDQ5891783

Khristo N. Boyadzhiev, Ayhan Dil

Publication date: 17 September 2012

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00687

zbMATH Keywords

generating functionsHermite polynomialsLaguerre polynomialsFibonacci numbersStirling numbers of the second kindharmonic numbersbinomial transformationgeometric numbersEuler series transformationexponential numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83)

Related Items (3)

On the limit of discrete q-Hermite I polynomials ⋮ Extended Bernoulli and Stirling matrices and related combinatorial identities ⋮ A combinatorial analysis of higher order generalised geometric polynomials: a generalisation of barred preferential arrangements

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