A note on generalized Euler numbers and polynomials

In this paper we construct new generalized Euler polynomials and generalized Euler numbers attached to χ. We investigate some of the properties that are related to generalized Euler polynomials. We also derive the existence of a specific interpolation function that interpolates generalized Euler pol...

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Bibliographic Details
Published in:International journal of computer mathematics 2007-07, Vol.84 (7), p.1099-1111
Main Authors: Ryoo, C. S., Kim, T., Jang, L. C.
Format: Article
Language:English
Subjects:
Euler numbers
Euler polynomials
Generalized Euler numbers
Generalized Euler polynomials
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Summary:In this paper we construct new generalized Euler polynomials and generalized Euler numbers attached to χ. We investigate some of the properties that are related to generalized Euler polynomials. We also derive the existence of a specific interpolation function that interpolates generalized Euler polynomials at negative integers. Finally, we investigate computationally the roots of the generalized Euler polynomials E n, χ (x) for values of the index n.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160701242326