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A Note on the Modified q‐Bernoulli Numbers and Polynomials with Weight α

Author

Listed:
  • T. Kim
  • D. V. Dolgy
  • S. H. Lee
  • B. Lee
  • S. H. Rim

Abstract

A systemic study of some families of the modified q‐Bernoulli numbers and polynomials with weight α is presented by using the p‐adic q‐integration ℤp. The study of these numbers and polynomials yields an interesting q‐analogue related to Bernoulli numbers and polynomials.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:545314
    DOI: 10.1155/2011/545314
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    References listed on IDEAS

    as
    1. Hacer Ozden & Ismail Naci Cangul & Yilmaz Simsek, 2008. "Multivariate Interpolation Functions of Higher‐Order q‐Euler Numbers and Their Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
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    Cited by:

    1. 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).

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