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, cilt.106, sa.120, ss.113-123, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 106 Sayı: 120
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/pim1920113k
  • Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.113-123
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.