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ISRN Applied Mathematics
Article . 2012 . Peer-reviewed
License: CC BY
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ISRN Applied Mathematics
Article
License: CC BY
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zbMATH Open
Article . 2012
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Generalized -Euler Numbers and Polynomials

Generalized \(w\)-Euler numbers and polynomials
Authors: Lee, Hui Young; Jung, Nam Soon; Ryoo, Cheon Seoung;

Generalized -Euler Numbers and Polynomials

Abstract

We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.

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Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), complement theorem, Euler polynomials, Binomial coefficients; factorials; \(q\)-identities, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Bernoulli and Euler numbers and polynomials

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold