본문 바로가기
KERD
논문KCI 등재

On the weighted q-Bernoulli numbers and polynomials

김태균
장전수학회 (Jangjeon Mathematical Society)|2011.04|Advanced Studies in Contemporary Mathematics|제21권 제2호|pp. 207-215

1

조회

0

다운로드

18

인용

0

참고문헌

키워드

Bernoulli numbers and polynomialsq-Bernoulli numbers and polynomialsq-Bernoulli numbers and polynomials with weight α
주제분류수학

초록

In this paper we discuss new concept of the q-extension of Bernoulli numbers and polynomials with weight α. From these q-Bernoulli numbers with weight α, we establish some interesting identities and relations.

Abstract

In this paper we discuss new concept of the q-extension of Bernoulli numbers and polynomials with weight α. From these q-Bernoulli numbers with weight α, we establish some interesting identities and relations.

참고문헌 (16)

  1. L. Carlitz, "Expansion of q-Bernoulli numbers and polynomials", Duke Math. J, 25, pp.355~364 (1958)
  2. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J, 15, pp.987~1000 (1948)
  3. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
  4. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. phys, 16, pp.484~491 (2009)
  5. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. phys. A : Math. Theor, 43, pp.255201~255211 (2010)
  6. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  7. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
  8. L.C.Jang, "A study on the p-adic integral representation on Zp associated with Bernstein and Bernoulli polynomials", Advances in Difference Equations, 2010, pp.6~ (2010)
  9. Y.Simsek, "A new generating function of q-Bernstein-type polynomials and their interpolation function", Abstract and Applied Analysis, 2010, pp.12~ (2010)
  10. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  11. A. S. Hegazi, "A note on q-Bernoulli numbers and polynomials", J. Nonlinear Math. Phys, 13, pp.9~18 (2006)
  12. M. Acikgoz, "On multiple interpolation function of the Norlund-type q-Euler polynomials", Abst. Appl. Anal, pp.14~ (2009)
  13. H. Ozden, "A new extension of q-Euler numbers and polynomials related to their interpolation functions", Appl. Math. Letters, 21, pp.934~938 (2008)
  14. L.C.Jang, "A note on Norlund-type twisted q-Euler polynomials and numbers of higher order associated with fermionic invariant q-integrals", J. Inequal. Appl, 2010, pp.12~ (2010)
  15. S.-H.Rim, "On multiple interpolation function of the q-Genocchi polynomials", J. Inequal. Appl, 2010, pp.13~ (2010)
  16. B. A. Kupershmidt, "Reflection symmetries of q-Bernoulli polynomials", J. Nonlinear Math. Phys, 12, pp.412~422 (2005)

관련 논문AI추천

A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호New approach to -Bernoulli polynomials with weight or weak weight박진우장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호A note on the modified q-Bernoulli polynomials권종겸, 박진우, 서종진, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호On the Modified q-Euler Numbers and Polynomials withWeak Weight 0권종겸, 박진우, 임석훈, 표성수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호

이 간행물의 다른 논문 (11건)

A BASIC LINEAR RECURSIVE SEQUENCE OF ARBITRARY ORDERA. G. Shannonpp. 119-124IRREDUCIBLY REPRESENTABLE LIE GROUPSA. I. Shternpp. 125-131A note on p-adic integrals associated with Bernstein and q-Bernstein polynomials최종성pp. 133-138Topogenic graphsB. D. Acharya, J. E. Joy, K. A. Germinapp. 139-159A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kimpp. 161-169
원문 보기