Some (p, q)-analogues of Apostol type numbers and polynomials

DOI10.12697/ACUTM.2019.23.04zbMath1479.11045OpenAlexW2966884257MaRDI QIDQ5205427

Ugur Duran, Mehmet Acikgoz, Serkan Araci

Publication date: 11 December 2019

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2019.23.04

zbMATH Keywords

Apostol-Bernoulli polynomialsApostol-Euler polynomials\((p, q)\)-calculusgenerating function.

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

On the \((p,q)\)-Humbert functions from the view point of the generating function method ⋮ The \(r\)-central factorial numbers with even indices

Cites Work

• Unnamed Item
• A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem
• Apostol-Euler polynomials arising from umbral calculus
• On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• On the Apostol-Bernoulli polynomials
• A generalization of the Bernoulli polynomials
• Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
• \(q\)-extensions for the Apostol type polynomials
• On the Lerch zeta function
• Commutation Relations, Normal Ordering, and Stirling Numbers
• Umbral calculus and Sheffer sequences of polynomials

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