Some identities and congruences for \(q\)-Stirling numbers of the second kind

DOI10.1134/S2070046622020017MaRDI QIDQ2151999

Hamadoun Maïga, Bertin Diarra, Tongobé Mounkoro

Publication date: 5 July 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

Laplace transformidentitiescongruencesStirling numbers of the second kind\(p\)-adic measuresmoments sequence\(p^\ell\mathbb{Z}_p\)-invariant function

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07)

Cites Work

• On some congruences for the Bell numbers and for the Stirling numbers
• Some identities and congruences concerning Euler numbers and polynomials
• Congruences for Bernoulli, Euler, and Stirling numbers
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Some identities and congruences for Stirling numbers of the second kind
• The Operator and Its Applications to Series
• Combinatorial Identities for Stirling Numbers
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