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On the twisted (h,q)-Genocchi numbers and polynomials associated with weight α

C. S. Ryoo|N.S. Jung
장전수학회 (Jangjeon Mathematical Society)|2012.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제15권 제1호|pp. 1-9|DOI 10.17777/pjms.2012.15.1.001

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참고문헌

키워드

Genocchi numbers and polynomialstwisted (hq)-Genocchi numbers and polynomials with weight α
주제분류수학

초록

In this paper, we construct a new type of the twisted (h, q)-Genocchi numbers G(h,α)n,q,w and polynomials G(h,α)n,q,w(x) with weight α. Some interesting results and relationships are obtained.

Abstract

In this paper, we construct a new type of the twisted (h, q)-Genocchi numbers G(h,α)n,q,w and polynomials G(h,α)n,q,w(x) with weight α. Some interesting results and relationships are obtained.

참고문헌 (13)

  1. M. Cenkci, "q-adic interpolation functions and kummer type congruence for q-twisted and q-generalized twisted Euler numbers", Advan. Stud. Contemp. Math, (9), pp.203~216 (2004)
  2. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  3. 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
  4. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russ. J. Math. Phys, 15, pp.481~486 (2008)
  5. T. Kim, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl, 326, pp.1458~1465 (2007)
  6. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, (9), pp.288~299 (2002)
  7. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
  8. Veli Kurt, "A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS", 대한수학회보, 47(3), pp.575~583 (2010), 대한수학회
  9. H. Y. Lee, "A note on the twisted q-Genocchi numbers and polynomials with weightα", ~
  10. S.-H. Rim, "On multiple interpolation function of the q-Genocchi polynomials", J. Inequal. Appl, pp.13~ (2010)
  11. 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회
  12. C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
  13. M. Cenkci, "Further remarks on multiple p -adic q-L-function of two variables", Advanced Studies in Contemporary Mathematics, 14(1), pp.49~68 (2007), 장전수학회

관련 논문AI추천

On the weighted q-Bernoulli numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호On the (w,q)-Euler numbers and polynomials with weight α김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호Interpolation function of the multiple twisted q-Genocchi polynomials with weak weight α강정욱, 유천성장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호On multiple interpolation functions of the q-Genocchi numbers and polynomials with weight α and weak weight β강정욱, C. S. Ryoo장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호

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