Notes on the Hermite-based poly-Euler polynomials with a q-parameter

Burak Kurt
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 3, Pages 74–82
DOI: 10.7546/nntdm.2020.26.3.74-82
Full paper (PDF, 206 Kb)

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Authors and affiliations

Burak Kurt
Mathematics of Department, Akdeniz University
Antalya TR-07058, Turkey

Abstract

We introduce and investigate the Hermite-based poly-Euler polynomials with a q-parameter. We give some basic properties and identities for these polynomials. Furthermore, we prove two explicit relations.

Keywords

• Bernoulli polynomials and numbers
• Euler polynomials and numbers
• 2-variable Hermite–Kampé de Feriét polynomials
• Polylogarithm function
• Poly-Euler polynomials
• Stirling numbers of the second kind

2010 Mathematics Subject Classification

• 11B68
• 11B73
• 33C45

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