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A Note on the q‐Euler Numbers and Polynomials with Weak Weight α

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  • H. Y. Lee
  • N. S. Jung
  • C. S. Ryoo

Abstract

We construct a new type of q‐Euler numbers and polynomials with weak weight α : En,q(α), En,q(α)(x), respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of the q‐Euler numbers En,q(α) and polynomials En,q(α)(x) with weak weight α. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of q‐Euler polynomials En,q(α) with weak weight α.

Suggested Citation

  • H. Y. Lee & N. S. Jung & C. S. Ryoo, 2011. "A Note on the q‐Euler Numbers and Polynomials with Weak Weight α," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
  • Handle: RePEc:wly:jnljam:v:2011:y:2011:i:1:n:497409
    DOI: 10.1155/2011/497409
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