Identities associated with Milne-Thomson type polynomials and special numbers

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ŞİMŞEK Y., Cakic N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2018, 2018 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 2018
  • Publication Date: 2018
  • Doi Number: 10.1186/s13660-018-1679-x
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Generating function, Functional equation, Bernoulli numbers and polynomials, Euler numbers and polynomials, Stirling numbers, Array polynomials, Milne-Thomson polynomials, Hermite polynomials, Central factorial numbers, Cauchy numbers, Special functions, p-adic integral, EULER, BERNOULLI, (H
  • Akdeniz University Affiliated: Yes

Abstract

The purpose of this paper is to give identities and relations including the Milne-Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers. By using fermionic and bosonic p-adic integrals, we derive some new relations and formulas related to these numbers and polynomials, and also the combinatorial sums.