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Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials
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In this paper, we intimate connection between generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials and some implicit summation formulae by applying the generating functions.These results extend some known summations and identities of Apostol-Hermite- Bernoullli, Apostol-Hermite-Euler and Apostol-Hermite-Genocchi polynomials.
Abstract
In this paper, we intimate connection between generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials and some implicit summation formulae by applying the generating functions.These results extend some known summations and identities of Apostol-Hermite- Bernoullli, Apostol-Hermite-Euler and Apostol-Hermite-Genocchi polynomials.
참고문헌 (15)
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관련 논문AI추천
Some Properties of the Generalized Apostol Type Hermite- Based PolynomialsWaseem Ahmad Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호On the Hermite based Genocchi polynomialsBURAK KURT, YILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호A new class of $q$-Hermite-based Apostol type Frobenius Genocchi polynomials강정욱, Waseem A. Khan대한수학회 · 대한수학회논문집2020 · 제35권 제3호Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomialsMoin Ahmad, WASEEM A. KHAN장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASISErdogan Sen장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호
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