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Identities involving the -Genocchi polynomials and -Zeta-type function

M. Acikgoz|S. Araci|A. Bagdasaryan|E.Sen|Y.He
장전수학회 (Jangjeon Mathematical Society)|2014.04|Advanced Studies in Contemporary Mathematics|제24권 제2호|pp. 227-240

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참고문헌

키워드

Mellin transformationq-Genocchi numbers and polynomials(hKim's q-Bernstein polynomialsq)-Zeta functionfermionic p-adic q-integral on Zp
주제분류수학

초록

The fundamental objective of this paper is to obtain some interesting properties for (h,q)-Genocchi numbers and polynomials by using the fermionic p-adic q-integral on Zp and mentioned in the paper q-Bernstein polynomials. By applying the Mellin transformation to the generating function of (h,q)-Genochhi polynomials, we define (h,q)-Zeta-type function. Moreover, we derive symmetric properties of (h,q)-Zeta funtion and from these properties we give symmetric property of (h,q)-Genocchi polynomials.

Abstract

The fundamental objective of this paper is to obtain some interesting properties for (h,q)-Genocchi numbers and polynomials by using the fermionic p-adic q-integral on Zp and mentioned in the paper q-Bernstein polynomials. By applying the Mellin transformation to the generating function of (h,q)-Genochhi polynomials, we define (h,q)-Zeta-type function. Moreover, we derive symmetric properties of (h,q)-Zeta funtion and from these properties we give symmetric property of (h,q)-Genocchi polynomials.

참고문헌 (44)

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관련 논문AI추천

ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-ZETA FUNCTION문은정, 이선정, 임석훈, 진종희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호A unified generating function of the q-genocchi polynomials with their interpolation functions서종진, HASSAN JOLANY, MEHMET AÇIKGÖZ, Serkan Araci장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호Some identities on the Bernstein and q-Genocchi polynomials김현미대한수학회 · 대한수학회보2013 · 제50권 제4호A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order서종진, Mehmet acikgoz, Serkan araci경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호A note on q-genocchi numbers and Bernstein polynomialsT. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호

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