본문 바로가기
KERD
논문KCI 등재

A note on the alternating sums of powers of consecutive q-integers

S.-H. Rim|Y. Simsek|T. Kim
장전수학회 (Jangjeon Mathematical Society)|2006.10|Advanced Studies in Contemporary Mathematics|제13권 제2호|pp. 159-164

0

조회

0

다운로드

6

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.

참고문헌 (15)

  1. Carlitz, L., "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
  2. Kim, T., "On Euler-Barnes multiple zeta functions", Russian J. Math. Phys., 10, pp.261~267 (2003)
  3. Kim, T., "A note on q-zeta functions", the 15th Int. Conf. of the Jangjeon Math. Soc., pp.110~114 (2004), Hapcheon, South Korea
  4. Kim, T., "On the q-extension of Euler and Genocci numbers", J. Math. Anal. Appl (2006)
  5. Kim, T, "Some formulae for the q-Bernoulli and Euler polynomials of higher order", J. Math. Anal. Appl., 273(1), pp.236~242 (2002)
  6. Kim, T., "A note on q-volkenborn integration", Proc. Jangjeon Math. Soc., 8, pp.13~17 (2005)
  7. Kim, T., "Sums of powers of consecutive q-integers", Adv. Stud. Contemp. Math., 1, pp.15~18 (2004)
  8. Kim, T., "p-adic q-integrals associated with the Changhee-Barnes' q-Bernoulli polynomi-als", Integral Transforms and Special Functions, 15, pp.415~420 (2004)
  9. Kim, T., "q-Volkenborn integrations", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  10. Kim, T., "On p-adic q-L-functions and sums of powers", Discrete Math., 252(1), pp.179~187 (2002)
  11. Kim, T., "L. C. Jang and H. K. Pak, A note on q-Euler and Genocci numbers", Proc. Japan Acad. ser. A, 77, pp.139~141 (2001)
  12. Kim, T., "On a q-analogue of the p-adic log gamma functions and related integrals,", J. Number Theory, 76(2), pp.320~329 (1999)
  13. Kim, T., "A note on the alternating sums of powers of consequtive integers", arXiv:math. NT, 2005
  14. Kim, T., "q-Euler numbers and polynomials associated with p-adic q-integrals(J. Non-linear Math. Phys.)" (2006)
  15. Rim, S. H., "A note on p-adic Euler measures on Zp", Russ. J. Math. Phys., 13(3), pp.358~361 (2006)

관련 논문AI추천

On the alternating sums of powers of consecutive $q$-integers김태균, 유천성, 임석훈대한수학회 · 대한수학회보2006 · 제43권 제3호A note on a sum of powers of q-integers of skip count by kDmitry V. Dolgy, J-W Park장전수학회 · Advanced Studies in Contemporary Mathematics2023 · 제33권 제1호Extentions of two q-series identitiesCaihuang Zhang, Zhizheng Zhang장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호A note on $q$-difference operatorsJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회논문집2002 · 제17권 제3호Some remarks on a q-analogue of Bernoulli numbersJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회지2002 · 제39권 제2호On q-Analog of Kummer's Theorem And its Contiguous ResultsArjun K. Rathie, Chang Hyun Lee, Yong Sup Kim대한수학회 · 대한수학회논문집2003 · 제18권 제1호

이 간행물의 다른 논문 (10건)

Ward's “calculus of sequences”, q-calculus and the limit q->-1M. Schorkpp. 131-141Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjectureA. I. Shternpp. 143-158The weighted Heron dual mean in variablesZh.-H. Zhang, V. Lokeshapp. 165-170On colorings of strongly multiplicative and strongly quotient graphsR .K. Zaferani, C. Adigapp. 171-182Logarithmetically complete monotonicity properties for the ratio of gamma functionW.-Z. Zhao, A.-J. Li, C.-P. Chenpp. 183-191
원문 보기