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

H. Y. Lee, N. S. Jung and C. S. Ryoo

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

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.

Date: 2011
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https://doi.org/10.1155/2011/497409

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:497409

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