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Applications of fourier series and zeta functions to Genocchi polynomials
(Natural Sciences Publishing, 2018-09-01)
In this paper, we firstly consider the properties of Genocchi polynomials, Fourier series and Zeta functions. In the special cases, we see that the Fourier series yield Zeta functions. From here, we show that zeta functions ...
ON A CLASS OF MULTIPLE q-BERNOULLI, MULTIPLE q-EULER AND MULTIPLE q-GENOCCHI POLYNOMIALS OF ORDER alpha
(MILI PUBL, 2016-10)
Motivated and inspired by  and , the authors introduce a class of multiple q-Bernoulli polynomials of order., multiple q-Euler polynomials of order. and multiple q-Genocchi polynomials of order.. We also present ...
A new generalization of Apostol type Hermite-Genocchi polynomials and its applications
(SPRINGER INTERNATIONAL PUBLISHING AG, 2016-06-24)
By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation ...