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Explicit Formulas Involving q‐Euler Numbers and Polynomials

Author

Listed:
  • Serkan Araci
  • Mehmet Acikgoz
  • Jong Jin Seo

Abstract

We deal with q‐Euler numbers and q‐Bernoulli numbers. We derive some interesting relations for q‐Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the q‐Euler numbers and q‐Bernoulli numbers via the p‐adic q‐integral in the p‐adic integer ring.

Suggested Citation

  • Serkan Araci & Mehmet Acikgoz & Jong Jin Seo, 2012. "Explicit Formulas Involving q‐Euler Numbers and Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:298531
    DOI: 10.1155/2012/298531
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    References listed on IDEAS

    as
    1. T. Kim & J. Choi, 2012. "On the q‐Euler Numbers and Polynomials with Weight 0," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. T. Kim & J. Choi & Y. H. Kim, 2011. "Some Identities on the q‐Bernoulli Numbers and Polynomials with Weight 0," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. T. Kim & J. Choi, 2012. "On the ð ‘ž -Euler Numbers and Polynomials with Weight 0," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, January.
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