IDENTITIES AND RELATIONS FOR FUBINI TYPE NUMBERS AND POLYNOMIALS VIA GENERATING FUNCTIONS AND p-ADIC INTEGRAL APPROACH


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Kilar N., ŞİMŞEK Y.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, vol.106, no.120, pp.113-123, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 106 Issue: 120
  • Publication Date: 2019
  • Doi Number: 10.2298/pim1920113k
  • Journal Name: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.113-123
  • Keywords: Bernoulli numbers and polynomials, Euler numbers and polynomials, Fubini type numbers and polynomials, Stirling numbers, lambda-array polynomials, Lah numbers, p-adic integral, BERNOULLI
  • Akdeniz University Affiliated: Yes

Abstract

The Fubini type polynomials have many application not only especially in combinatorial analysis, but also other branches of mathematics, in engineering and related areas. Therefore, by using the p-adic integrals method and functional equation of the generating functions for Fubini type polynomials and numbers, we derive various different new identities, relations and formulas including well-known numbers and polynomials such as the Bernoulli numbers and polynomials, the Euler numbers and polynomials, the Stirling numbers of the second kind, the lambda-array polynomials and the Lah numbers.