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ON THE TWISTED q-EULER ZETA FUNCTION ASSOCIATED WITH TWISTED q-EULER NUMBERS

김원주|유천성|김영희
장전수학회 (Jangjeon Mathematical Society)|2009.06|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제12권 제1호|pp. 93-100|DOI 10.17777/pjms.2009.12.1.012

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참고문헌

키워드

twisted q-Euler numbertwisted q-Euler zeta function
주제분류수학

초록

In this paper, we give the twisted q-Euler zeta function associated with twisted q-Euler numbers, and obtain the q-Euler’s identity. We also have a q-extension of the Euler zeta function for negative integers. Finally, we have the q-analogue of twisted Euler zeta function.

Abstract

In this paper, we give the twisted q-Euler zeta function associated with twisted q-Euler numbers, and obtain the q-Euler’s identity. We also have a q-extension of the Euler zeta function for negative integers. Finally, we have the q-analogue of twisted Euler zeta function.

참고문헌 (22)

  1. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  2. M. Cenkci, "p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers", Adv. Stud. Contemp. Math., 9(2), pp.203~216 (2004)
  3. T. Kim, "On Euler-Barnes multiple zeta functions", Russ. J. Math. Phys., 10(3), pp.261~267 (2003)
  4. T. Kim, "q-Riemann zeta function", Int. J. Math. Math. Sci., (9), pp.599~605 (2004)
  5. T. Kim, "Analytic continuation of multiple q-zeta functions and their values at negative integers", Russ. J. Math. Phys., 11(12), pp.71~76 (2004)
  6. T. Kim, "Multiple p-adic L-function", Russ. J. Math. Phys., 13(2), pp.151~157 (2006)
  7. T. Kim, "q-generalized Euler numbers and polynomials", Russ. J. Math. Phys., 13(3), pp.293~298 (2006)
  8. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Physics, 14(1), pp.15~27 (2007)
  9. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys., 15(1), pp.51~57 (2008)
  10. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
  11. T. Kim, "Note on the Euler q-zeta function", J. Number Thoery, ~ (2009)
  12. T. Kim, "Note on q-extensions of Euler numbers and polynomials of higher order", J. Inequalities Applications, ~ (2008)
  13. T. Kim, "Analytic continuation of the multiple Daehee q-l-functions associated with Daehee numbers", Russ. J. Math. Phys., 15(1), pp.58~65 (2008)
  14. Y.-H. Kim, "On the p-adic interpolation functions of the generalized twisted (h, q)- Euler numbers", Int. Journal of Math. Analysis, 18(3), pp.897~904 (2008)
  15. H. Ozden, "Multivariate interpolation functions of higher-order q-Euler numbers and their applications", Abstr. Appl. Anal., ~ (2008)
  16. H. Ozden, "Euler polynomials associated with p-adic q-Euler measure", Gen. Math., 15(2), pp.24~37 (2007)
  17. C.S. Ryoo, "Some Relationships between the analogues of Euler numbers and Polynomials", J. Inequalities Applications, ~ (2007)
  18. C.S. Ryoo, "A note on generalized Euler numbers and polynomials", Inter. J. Comput. Math., 84(7), pp.1099~1111 (2007)
  19. C.S. Ryoo, "A note on generalized q-Euler numbers and polynomials", J. Comput. Anal. Appl., 100(4), pp.483~493 (2008)
  20. Y. Simsek, "q-Analogue of twisted l-series and q-twisted Euler numbers", J. Number Thoery, 10, pp.267~278 (2005)
  21. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
  22. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회

관련 논문AI추천

ON THE TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 임석훈, 정주희, 진정희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호On the Modified q-Euler Numbers and Polynomials withWeak Weight 0권종겸, 박진우, 임석훈, 표성수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호On extended Carlitz’'s type q-Euler numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호ON 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 OF q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호

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