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

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## Details

### 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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## Cite this paper

Kurt, B. (2020). Notes on the Hermite-based poly-Euler polynomials with a *q*-parameter. Notes on Number Theory and Discrete Mathematics, 26 (3), 74-82, doi: 10.7546/nntdm.2020.26.3.74-82.