Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials

DOI10.1007/S13398-018-0549-1zbMath1429.11047OpenAlexW2803662076WikidataQ129824994 ScholiaQ129824994MaRDI QIDQ2314666

Veli Kurt, Burak Kurt, Hari M. Srivastava

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0549-1

zbMATH Keywords

Hermite polynomialsBernoulli polynomials and numbersEuler polynomials and numbersApostol-Bernoulli polynomials and numbersApostol-Euler polynomials and numbersdegenerate Euler polynomials and numbersApostol-Genocchi polynomials and numbersdegenerate Bernoulli polynomials and numbersHermite-based unified Apostol type polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Other functions coming from differential, difference and integral equations (33E30) Special sequences and polynomials (11B83) Computational aspects of special functions (33F99)

Related Items (4)

Applications of degenerate q-Euler and q-Changhee polynomials with weight α ⋮ \(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ 2-Variable Fubini-degenerate Apostol-type polynomials ⋮ An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration

Cites Work

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• Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• A new class of partially degenerate Hermite-Genocchi polynomials
• Some identities relating to degenerate Bernoulli polynomials
• On the unified family of generalized Apostol-type polynomials of higher order and multiple power sums

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