논문KCI 등재
ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-ZETA FUNCTION
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In this paper, we give the q-extension of the Genocchi numbers which can be viewed as interpolating of the above q-Genocchi zeta function at negative integers, in the same way that Riemann zeta function interpolates Genocchi numbers at negative integers. Also we treat some identities of the q-extension of the q-Genocchi numbers by using fermionic p-adic q-integration on Zp.
Abstract
In this paper, we give the q-extension of the Genocchi numbers which can be viewed as interpolating of the above q-Genocchi zeta function at negative integers, in the same way that Riemann zeta function interpolates Genocchi numbers at negative integers. Also we treat some identities of the q-extension of the q-Genocchi numbers by using fermionic p-adic q-integration on Zp.
참고문헌 (13)
- Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
- T. Kim, "A note on p -adic q-integral on Z_p associated with q-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.133~137 (2007), 장전수학회
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys., 15(1), pp.51~57 (2008)
- T. Kim, "q-extension of the Euler formula and trigonometric functions", Russ. J. Math. Phys., 14(3), pp.275~278 (2007)
- T. Kim, "Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp", Russ. J. Math. Phys., 14(2), pp.160~163 (2007)
- S.-H. Rim, "A note on p-adic Euler measure on Zp", Russ. J. Math. Phys., 13(3), pp.358~361 (2006)
- T. Kim, "q-generalized Euler numbers and polynomials", Russ. J. Math. Phys., 13(3), pp.293~298 (2006)
- T. Kim, "Multiple p-adic L-function", Russ. J. Math. Phys., 13(2), pp.151~157 (2006)
- H. M. Srivastava, "q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series", Russ. J. Math. Phys., 12(2), pp.241~268 (2005)
- T. Kim, "Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function", Russ. J. Math. Phys., 12(2), pp.186~196 (2005)
- T. Kim, "Analytic continuation of multiple q-zeta functions and their values at negative integers", Russ. J. Math. Phys., 11(1), pp.71~76 (2004)
- T. Kim, "A note on q-Volkenbon integration", Proc. Jangjeon Math. Soc., 8, pp.13~17 (2005)
관련 논문AI추천
ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERSH. Ozden, I. N.. Cangul, V. Kurt, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호Identities involving the -Genocchi polynomials and -Zeta-type functionA. Bagdasaryan, E.Sen, M. Acikgoz, S. Araci, Y.He장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호ON THE q-EXTENSIONS OF THE BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND LERCH ZETA FUNCTION김영희, 김태균, 황경원장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALSMehmet Cenkci, Veli Kurt대한수학회 · 대한수학회보2010 · 제47권 제3호Interpolation function of the multiple twisted q-Genocchi polynomials with weak weight α강정욱, 유천성장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호On extended Carlitz’'s type q-Euler numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호
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