A new class of Laguerre-based generalized Apostol polynomials

DOI10.1515/fascmath-2016-0017zbMath1403.11012OpenAlexW2561103128MaRDI QIDQ502183

Nabiullah Khan, Talha Usman

Publication date: 3 January 2017

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2016-0017

zbMATH Keywords

summation formulaesymmetric identitiesLaguerre-based Apostol Bernoulli polynomialsLaguerre-based Apostol Euler polynomialsLaguerre-based Apostol Genocchi polynomials

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) Other functions defined by series and integrals (33E20)

Related Items (9)

Evaluation of Apostol-Euler based poly Daehee polynomials ⋮ A note on Legendre-based multi poly-Euler polynomials ⋮ A new class of generalized polynomials ⋮ A new class of generalized polynomials involving Laguerre and Euler polynomials ⋮ A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials ⋮ A new class of generalized Laguerre-Euler polynomials ⋮ Certain generating funtion of generalized Apostol type Legendre-based polynomials ⋮ Unnamed Item ⋮ Certain Laguerre-based Generalized Apostol Type Polynomials

Cites Work

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• Some identities of the generalized twisted Bernoulli numbers and polynomials of highert order
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• Some formulas for the Bernoulli and Euler polynomials at rational arguments

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