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

We construct a new type of 𝑞-Euler numbers and polynomials with weak weight 𝛼 : 𝐸(𝛼)𝑛,𝑞, 𝐸(𝛼)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of the 𝑞-Euler numbers 𝐸(𝛼)𝑛,𝑞 and polynomials 𝐸(𝛼)𝑛,𝑞(𝑥) with weak weight 𝛼. By means of...

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Bibliographic Details
Main Authors: H. Y. Lee, N. S. Jung, C. S. Ryoo
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/497409
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