\(q\)-extensions for the Apostol type polynomials

DOI10.1155/2014/868167zbMath1442.11044DBLPjournals/jam/MahmudovK14OpenAlexW2096890080WikidataQ59052906 ScholiaQ59052906MaRDI QIDQ2336799

Marzieh Eini Keleshteri, Nazim Idris Mahmudov

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/868167

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

A study on \(q\)-Appell polynomials from determinantal point of view ⋮ \(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ An extended generalized \(q\)-extensions for the Apostol type polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(q\)-difference equations for the 2-iterated \(q\)-Appell and mixed type \(q\)-Appell polynomials ⋮ Some (p, q)-analogues of Apostol type numbers and polynomials ⋮ A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums ⋮ Difference equations for a class of twice-iterated \(\Delta _{h}\)-Appell sequences of polynomials ⋮ Growth theorems for a subclass of strongly spirallike functions ⋮ Unified (p,q)-analog of Aspostol type polynomials of order α ⋮ 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

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• Difference equations of \(q\)-Appell 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
• A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
• Some results for the \(q\)-Bernoulli and \(q\)-Euler polynomials
• On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
• On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials
• A generalization of the Bernoulli polynomials
• Some series identities involving the generalized Apostol type and related polynomials
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
• Convexity and generalized Bernstein polynomials
• A generalization of the Hurwitz - Lerch Zeta function

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