Hermite and poly-Bernoulli mixed-type polynomials

DOI10.1186/1687-1847-2013-343zbMath1391.33024arXiv1310.1239OpenAlexW2000040480WikidataQ59294589 ScholiaQ59294589MaRDI QIDQ1653129

Taekyun Kim, Dae San Kim

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1239

zbMATH Keywords

generating functionsumbral calculusFrobenius-Euler polynomialsmixed-type Hermite/poly-Bernoulli polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

A note on degenerate poly-Bernoulli numbers and polynomials ⋮ Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters ⋮ Multi Poly-Bernoulli and Multi Poly-Euler Polynomials

Cites Work

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• The umbral calculus
• Poly-Bernoulli numbers
• Some identities of Frobenius-Euler polynomials arising from umbral calculus
• Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• On The Hermite Based-Second Kind Genocchi Polynomials
• Some identities of q-Euler polynomials arising from q-umbral calculus

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