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Fourier Expansions and Integral Representations for the Genocchi Polynomials
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In this article, the Fourier expansins for the Genocchi polynomials were derived by using the Lipschitz summation formula and obtaining the integral representations for the GPs.Abstract:
Applying the analytic method and the transformation technique of the series,we give the Fourier expansins for the Genocchi polynomials by using the Lipschitz summation formula and obtain the integral representations for the Genocchi polynomials.Furthermore,some new and interesting results of the Genocchi polynomials are also derived.read more
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Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind
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TL;DR: This paper investigates an analogous generalization of the Genocchi polynomials of higher order, that is, the so-called Apostol–Genocchi hailing from the family of the Apostol type polynomes, and derives some basic properties and formulas and considers some interesting applications to the family.
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Some New Families of Generalized Euler and Genocchi Polynomials
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Unified Apostol-Bernoulli, Euler and Genocchi polynomials
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Some series identities involving the generalized Apostol type and related polynomials
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TL;DR: This paper proves several symmetry identities for these generalized Apostol type polynomials by using their generating functions and derives several relations between the Apostol types, the generalized sum of integer powers and the generalized alternating sum.
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Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
TL;DR: In this article, a unified family of Hermite-based polynomials is introduced, which includes the Apostol-Bernoulli, Euler and Genocchi families.
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