Some new identities and congruences for Fubini numbers

DOI10.1016/j.jnt.2016.09.032zbMath1421.11003OpenAlexW2550997864WikidataQ114157402 ScholiaQ114157402MaRDI QIDQ730067

Hamadoun Maïga, Tocka Diagana

Publication date: 23 December 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.032

zbMATH Keywords

Laplace transformidentitiescongruences\(p\)-adic measureFubini numbersgeneralized Fubini numbersmoments sequence

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50)

Related Items (7)

Generalized geometric polynomials via Steffensen's generalized factorials and Tanny's operators ⋮ Fubini polynomials and integer partitions ⋮ Recurrences and congruences for higher-order geometric polynomials and related numbers ⋮ Extensions of set partitions and permutations ⋮ On higher order generalized geometric polynomials with shifted parameters ⋮ A new class of generalized Fubini polynomials and their computational algorithms ⋮ \(q\)-extension of Fubini numbers

Cites Work

• Some identities and congruences concerning Euler numbers and polynomials
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• The \(p\)-adic \(z\)-transform
• Splitting Fields and Periods of Fibonacci Sequences Modulo Primes
• Commutation Relations, Normal Ordering, and Stirling Numbers
• Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm
• On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant
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