A closed formula for the generating function of p-Bernoulli numbers

DOI10.2989/16073606.2017.1418762zbMath1446.11033arXiv1702.06420OpenAlexW3209551743MaRDI QIDQ4562711

Levent Kargin, Mourad Rahmani

Publication date: 18 December 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06420

zbMATH Keywords

generating functionsharmonic numbersBernoulli polynomials and Bernoulli numbersgeometric polynomialsStirling numbers of the first and second kind

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83)

Related Items (4)

Semiorthogonality of geometric polynomials ⋮ A note on the generating function of p-bernoulli numbers ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function ⋮ p-Bernoulli and geometric polynomials

Cites Work

• Unnamed Item
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• Explicit formulas for Bernoulli polynomials of order \(n\)
• A recurrence formula for the Bernoulli numbers
• Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials
• A series transformation formula and related polynomials
• Geometric polynomials: properties and applications to series with zeta values
• On \(p\)-Bernoulli numbers and polynomials
• Identities between polynomials related to Stirling and harmonic numbers
• Some formulae for products of Fubini polynomials with applications
• Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm
• Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
• On Some Numbers Related to the Bell Numbers
• Close Encounters with the Stirling Numbers of the Second Kind
• On Gessel-Kaneko's identity for Bernoulli numbers
• Combinatorial Identities for Stirling Numbers
• Generalized Bernoulli polynomials and numbers, revisited

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