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Approximations of Genocchi polynomials of complex order
Asian-European Journal of Mathematics, 2020Approximation formulas for the Genocchi polynomials of complex order are obtained using contour integration with the contour avoiding branch cuts. An alternative expansion is also obtained by expanding a function involving the generating function in a two-point Taylor expansion.
Cristina B. Corcino, Roberto B. Corcino
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On the symmetric properties for the generalized twisted Genocchi polynomials.
Ars Comb., 2012This article is devoted to the study of properties of one interesting type of polynomials - generalized twister Genocchi polynomials. The authors introduce the generalized twisted Genocchi polynomials attached to Dirichlet character with conductor \(d\in \mathbb {N}\) with \(d\equiv 1 \pmod 2\) and study the symmetry for the \(n\)-th generalized ...
Seog-Hoon Rim +4 more
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A numerical investigation on the zeros of the Genocchi polynomials
Journal of Applied Mathematics and Computing, 2006The author studies zeros of Genocchi polynomials. Genocchi polynomials \(G_n(x)\) are defined by the generating function as \[ {2t\over e^t+ 1} e^{xt}= \sum^\infty_{n=0} G_n(x){t^n\over n!}, \] and the Genocchi number \(G_n\) is defined by \(G_n= G_n(0)\). These are closely related to Euler polynomials and Euler numbers from their definitions.
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Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind
Applied Mathematics and Computation, 2011Qiu-Ming Luo, H M Srivastava
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Some new identities for the Apostol–Bernoulli polynomials and the Apostol–Genocchi polynomials
Applied Mathematics and Computation, 2015Serkan Araci +2 more
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Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022exaly