Some identities on the twisted q-Bernoulli numbers and polynomials with weight α

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作者
Lee-Chae Jang
机构
[1] Kon-Kuk University,Department of Mathematics and Computer Science
来源
Journal of Inequalities and Applications | / 2012卷
关键词
Bernoulli numbers and polynomials; bosonic ; -integral; twisted ; -Bernoulli numbers and polynomials with weight ;
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摘要
In this paper, we consider the twisted q-Bernoulli numbers and polynomials with weight α by using the bosonic q-integral on [inline-graphic not available: see fulltext]. From the construction of the twisted q-Bernoulli numbers with weight α, we derive some identities and relations.
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  • [1] Bayad A(2010)Modular properties of elliptic Bernoulli and Euler functions Adv. Stud. Contemp. Math 20 389-401
  • [2] Bayad A(2010)Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials Adv. Stud. Contemp. Math 20 247-253
  • [3] Kim T(1958)Expansion of Duke Math. J 25 355-364
  • [4] Carlitz L(1948)-Bernoulli numbers and polynomials Duke Math. J 15 987-1000
  • [5] Carlitz L(2009)-Bernoulli numbers and polynomials Adv. Stud. Contemp. Math 9 39-57
  • [6] Cancul IN(2010)On the higher-order Adv. Stud. Contemp. Math 20 7-21
  • [7] Kurt V(2006)- J. Nonlinear Math. Phys 13 9-18
  • [8] Ozden H(2009)-Genocchi numbers Adv. Stud. Contemp. Math 19 181-189
  • [9] Simsek Y(2008)Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials Russ. J. Math. Phys 15 51-57
  • [10] Ding D(2009)A note on Russ. J. Math. Phys 16 484-491