Identities and relations for Fubini type numbers and polynomials via generating functions and p-adic integral approach

DOI10.2298/PIM1920113KzbMath1499.05036OpenAlexW2991659901WikidataQ126630676 ScholiaQ126630676MaRDI QIDQ5031136

Neslihan Kilar, Yilmaz Simsek

Publication date: 18 February 2022

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim1920113k

zbMATH Keywords

Stirling numbersBernoulli numbersEuler numbersLah numbersBernoulli polynomials\(\lambda\)-array polynomialsEuler polynomials\(p\)-adic integralFubini type polynomialsFubini type numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (5)

ON q-DERANGEMENT NUMBERS AND POLYNOMIALS ⋮ New construction of type 2 degenerate central Fubini polynomials with their certain properties ⋮ Degenerate Whitney numbers of first and second kind of Dowling lattices ⋮ Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers ⋮ Some results on degenerate Fubini and degenerate Bell polynomials

Cites Work

• Some array type polynomials associated with special numbers and polynomials
• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• Identities associated with Milne-Thomson type polynomials and special numbers
• Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach
• A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions
• Eulerian Numbers and Polynomials
• A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS
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