IDENTITIES AND RELATIONS FOR FUBINI TYPE NUMBERS AND POLYNOMIALS VIA GENERATING FUNCTIONS AND p-ADIC INTEGRAL APPROACH
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.106, sa.120, ss.113-123, 2019 (ESCI, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.