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

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KURT B.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.26, no.3, pp.74-82, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.7546/nntdm.2020.26.3.74-82
  • Journal Name: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.74-82
  • Keywords: Bernoulli polynomials and numbers, Euler polynomials and numbers, 2-variable Hermite-Kampe de Feriet polynomials, Polylogarithm function, Poly-Euler polynomials, Stirling numbers of the second kind, BERNOULLI, NUMBERS
  • Akdeniz University Affiliated: Yes

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.