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New approach to -Bernoulli polynomials with weight or weak weight

박진우
장전수학회 (Jangjeon Mathematical Society)|2014.01|Advanced Studies in Contemporary Mathematics|제24권 제1호|pp. 39-44

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참고문헌

키워드

q-Bernoulli polynomialsq-Bernoulli numbersmodified q-Bernoulli polynomials with weight α
주제분류수학

초록

In this paper, we construct new q-extension of Bernoulli polynomaials with a or weak weight b. These q-Bernoulli polynomials are useful to study various identities of Carlitz`s q-Bernoulli numbers.

Abstract

In this paper, we construct new q-extension of Bernoulli polynomaials with a or weak weight b. These q-Bernoulli polynomials are useful to study various identities of Carlitz`s q-Bernoulli numbers.

참고문헌 (15)

  1. M. Acikoz, "A new approach to q-Bernoulli numbers and q-Bernoulli polynomials related to q-Bernstein polynomials", Adv. Di erece Equ., pp.9~ (2010)
  2. A. Bayad, "Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials", Russ. J. Math. Phys., 18(2), pp.133~143 (2011)
  3. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc., 76, pp.332~350 (1954)
  4. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
  5. 최종성, "Arithmetic properties for the q-Bernoulli numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(2), pp.137~143 (2012), 장전수학회
  6. 최종성, "A note on the extended q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(4), pp.351~354 (2011), 장전수학회
  7. 김태균, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
  8. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial co-ecients", Russ. J. Math. Phys., 15(1), pp.51~57 (2008)
  9. T. Kim, "On q-analogye of the p-adic log gamma functions and related integral", J. Number Theory, 76(2), pp.320~329 (1999)
  10. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  11. T. Kim, "On the q-Bernoulli numbers and polynomials with weight", Abstr. Appl. Anal., pp.14~ (2011)
  12. T. Kim, "A note on the modi ed qBernoulli numbers and polynomials with weight .", Abstr. Appl. Anal., pp.8~ (2011)
  13. S. H. Rim, "Some identities on the extended Carlitz's q-Bernoulli numbers and polynomials", J. Comput. Anal. Appl., 14(3), pp.536~543 (2012)
  14. J. Seo, "A note on the new approach to q-Bernoulli polynomials", Appl. Math. Sci., 7(94), pp.4675~4680 (2013)
  15. Y. Simesk, "New approach to the complete sum of products of the twisted (h; q)-Bernoulli numbers and polynomials", Adv. Stud. Contemp. Math., 12, pp.237~246 (2006)

관련 논문AI추천

On the weighted q-Bernoulli numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A note on the modified q-Bernoulli polynomials권종겸, 박진우, 서종진, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호On the Modified q-Euler Numbers and Polynomials withWeak Weight 0권종겸, 박진우, 임석훈, 표성수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호

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