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A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS

Mehmet Cenkci|Veli Kurt
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회보 (Bulletin of the KMS)|제47권 제3호|pp. 575-583

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참고문헌

키워드

q-Genocchi numbers and polynomialsq-Bernoulli numbers and polynomialsq-exponential functions
주제분류수학

초록

In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.

Abstract

In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.

참고문헌 (22)

  1. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
  2. Mehmet Cenkci, "$q$-Extensions of Genocchi Numbers", 대한수학회지, 43(1), pp.183~198 (2006), 대한수학회
  3. G. Gasper, "Lecture notes for an introductory minicourse on q-series, arXiv.math. CA", 9509223
  4. G. Gasper, "Basic Hypergeometric Series" (1990), Cambridge University Press
  5. A. S. Hegazi, "A note on q-Bernoulli numbers and polynomials", J. Nonlinear Math. Phys., 13(1), pp.9~18 (2006)
  6. L. C. Jang, "q-Genocchi numbers and polynomials associated with fermionic p-adic invariant integrals on Zp", Abstr. Appl. Anal., 2008, pp.8~ (2008)
  7. L. C. Jang, "An application of polylogarithms in the analogue of Genocchi numbers", NNTDM, 7, pp.66~70 (2000)
  8. V. Kac, "Quantum Calculus" (2002), Springer Verlag
  9. T. Kim, "q-generalized Euler numbers and polynomials", Russ. J. Math. Phys., 13(3), pp.293~298 (2006)
  10. T. Kim, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl., 326(2), pp.1458~1465 (2007)
  11. 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
  12. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
  13. T. Kim, "A note on the q-Genocchi numbers and polynomials", J. Inequal. Appl., 2007, pp.8~ (2007)
  14. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russ. J. Math. Phys., 15(4), pp.481~486 (2008)
  15. T. Kim, "Note on q-Genocchi numbers and polynomials", Advanced Studies in Contemporary Mathematics, 17(1), pp.9~15 (2008), 장전수학회
  16. T. Kim, "A note on q-Euler and Genocchi numbers", Proc. Japan Acad. Ser. A Math. Sci., 77(8), pp.139~141 (2001)
  17. T. Kim, "New q-Euler numbers and polynomials associated with p-adic q-integrals", Advanced Studies in Contemporary Mathematics, 15(2), pp.243~252 (2007), 장전수학회
  18. T. H. Koornwinder, "Special functions and q-commuting variables, Special functions, qseries and related topics", pp.131~166 (1997), Amer. Math. Soc.
  19. B. A. Kupershmidt, "Reflection symmetries of q-Bernoulli polynomials", J. Nonlinear Math. Phys., 12(1), pp.412~422 (2005)
  20. Y. Simsek, "q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions", Adv. Difference Equ., 2008, pp.12~ (2008)
  21. A. De Sole, "On integral representations of q-gamma and q-beta functions, arXiv:math QA", 0302032
  22. H. M. Srivastava, "Remarks on some relationships between the Bernoulli and Euler polynomials", Appl. Math. Lett., 17(4), pp.375~380 (2004)

관련 논문AI추천

Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order서종진, Mehmet acikgoz, Serkan araci경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-ZETA FUNCTION문은정, 이선정, 임석훈, 진종희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호Arithmetic properties for the q-Bernoulli numbers and polynomials김태균, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호On the twisted (h,q)-Genocchi numbers and polynomials associated with weight αC. S. Ryoo, N.S. Jung장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호

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