Unified (p,q)-analog of Aspostol type polynomials of order α

DOI10.2298/FIL1802387DzbMath1488.11056OpenAlexW2775894072MaRDI QIDQ5014369

Mehmet Acikgoz, Ugur Duran, Serkan Araci

Publication date: 2 December 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1802387d

zbMATH Keywords

generating functionStirling numbers of second kindApostol-Bernoulli polynomials\((p,q)\)-calculusApostol-Euler polynomialsApostol-Genocchi polynomialsCauchy product

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

A class of big (p,q)-Appell polynomials and their associated difference equations ⋮ On the generalized q-poly-Euler polynomials of the second kind

Cites Work

• Unnamed Item
• A new unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials
• A certain \((p,q)\)-derivative operator and associated divided differences
• A new generalization of the Bernoulli and related polynomials
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
• \(q\)-extensions of some relationships between the Bernoulli and Euler polynomials
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• \(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function
• Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• \(q\)-extensions for the Apostol type polynomials
• Some series identities involving the generalized Apostol type and related polynomials
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• On the Lerch zeta function
• Some families of Genocchi type polynomials and their interpolation functions
• A (p, q)-oscillator realization of two-parameter quantum algebras
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Some symmetry identities for the unified Apostol-type polynomials and multiple power sums
• Notes on unified q-Apostol-type polynomials

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