On the Modified q -Bernoulli Numbers of Higher Order with Weight

T. Kim; J. Choi; Y.-H. Kim; S.-H. Rim

doi:10.1155/2012/948050

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 On the Modified

q

-Bernoulli Numbers of Higher Order with Weight

T. Kim, J. Choi, Y.-H. Kim, S.-H. Rim

Abstr. Appl. Anal. 2012: 1-6 (2012). DOI: 10.1155/2012/948050

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Abstract

The purpose of this paper is to give some properties of the modified $q$ -Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic $p$ -adic $q$ -integral on ${\Bbb Z}_{p}$ , we derive new identities of $q$ -Bernoulli numbers and polynomials with weight.

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T. Kim. J. Choi. Y.-H. Kim. S.-H. Rim. "On the Modified $q$ -Bernoulli Numbers of Higher Order with Weight." Abstr. Appl. Anal. 2012 1 - 6, 2012. https://doi.org/10.1155/2012/948050