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Analytic continuation of weighted q-Genocchi numbers and polynomials
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 457-462
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In the present paper, we analyse analytic continuation ofweighted q-Genocchi numbers and polynomials. A novel formula forweighted q-Genocchi-zeta function e G,q (s | a in terms of nested seriesof eG,q (n | a) s derived. Moreover, we introduce a novel concept of dy-namics of the zeros of analytically continued weighted q-Genocchi poly-nomials.
Abstract
In the present paper, we analyse analytic continuation ofweighted q-Genocchi numbers and polynomials. A novel formula forweighted q-Genocchi-zeta function e G,q (s | a in terms of nested seriesof eG,q (n | a) s derived. Moreover, we introduce a novel concept of dy-namics of the zeros of analytically continued weighted q-Genocchi poly-nomials.
참고문헌 (10)
- Serkan Araci, "A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION", 호남수학학술지, 34(1), pp.11~18 (2012), 호남수학회
- S. Araci, "A study on the fermionic p-adic q-integral represen- tation on Zp associated with weighted q-Bernstein and q-Genocchi polynomials", Abstr. Appl. Anal, pp.10~ (2011)
- T. Kim, "On explicit formulas of p-adic q-L-functions", Kyushu J. Math, 43(1), pp.73~86 (1994)
- T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76(2), pp.320~329 (1999)
- 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, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl, 326(2), pp.1458~1465 (2007)
- T. Kim, "On the analogs of Euler numbers and polynomials associated with p-adic q- integral on Zp at q = −1", J. Math. Anal. Appl, 331(2), pp.779~792 (2007)
- T. Kim, "Analytic continuation of q-Euler numbers and polynomials", Appl. Math. Lett, 21(12), pp.1320~1323 (2008)
- T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", J. Math. Anal. Appl, 339(1), pp.598~608 (2008)
- T. Kim, "Exploring the q-Riemann zeta function and q-Bernoulli polynomials", Discrete Dyn. Nat. Soc, 2005(2), pp.171~181 (2005)
관련 논문AI추천
On the weighted q-Bernoulli numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order서종진, Mehmet acikgoz, Serkan araci경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Calculating zeros of the twisted q-Genocchi polynomials김태균, 유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호ON 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 제2호Calculating zeros of the twisted Genocchi polynomialsC. S. Ryoo장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호
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