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

Author

Listed:
  • T. Kim
  • J. Choi
  • Y.-H. Kim
  • S.-H. Rim

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 ℤp, we derive new identities of q‐Bernoulli numbers and polynomials with weight.

Suggested Citation

  • T. Kim & J. Choi & Y.-H. Kim & S.-H. Rim, 2012. "On the Modified q‐Bernoulli Numbers of Higher Order with Weight," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:948050
    DOI: 10.1155/2012/948050
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    References listed on IDEAS

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    1. T. Kim & D. V. Dolgy & S. H. Lee & B. Lee & S. H. Rim, 2011. "A Note on the Modified q‐Bernoulli Numbers and Polynomials with Weight α," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. T. Kim & D. V. Dolgy & S. H. Lee & B. Lee & S. H. Rim, 2011. "A Note on the Modified -Bernoulli Numbers and Polynomials with Weight," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-8, November.
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