Some New Classes of Generalized Hermite-Based Apostol-Euler and Apostol-Genocchi Polynomials

DOI10.1515/fascmath-2015-0020zbMath1337.05006OpenAlexW2340808531MaRDI QIDQ2809985

Waseem A. Khan, Mahmood A. Pathan

Publication date: 30 May 2016

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

Full work available at URL: https://doi.org/10.1515/fascmath-2015-0020

zbMATH Keywords

Hermite polynomialssummation formulaeApostol-Hermite-Bernoulli polynomialsApostol-Hermite-Euler polynomialsApostol-Hermite-Genocchi polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Set functions, measures and integrals with values in abstract spaces (28B99)

Related Items (9)

Certain Properties of Apostol-Type Hermite-Based- Frobenius-Genocchi Polynomials ⋮ Multiple-poly-Bernoulli polynomials of the second kind associated with Hermite polynomials ⋮ On the generalized Apostol-type Frobenius-Genocchi polynomials ⋮ A note on degenerate Hermite poly-Bernoulli numbers and polynomials ⋮ Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations ⋮ A NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS ⋮ Unnamed Item ⋮ A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials ⋮ A STUDY OF POLY-BERNOULLI POLYNOMIALS ASSOCIATED WITH HERMITE POLYNOMIALS WITH q-PARAMETER

Cites Work

• Unnamed Item
• 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
• Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Exponential polynomials
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• On the Lerch zeta function
• A new class of generalized Hermite–Bernoulli polynomials
• Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
• Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials

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