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http://dx.doi.org/10.14317/jami.2014.465

AN EXTENSION OF GENERALIZED EULER POLYNOMIALS OF THE SECOND KIND  

Kim, Y.H. (Department of Mathematics, Hannam University)
Jung, H.Y. (Department of Mathematics, Hannam University)
Ryoo, C.S. (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 465-474 More about this Journal
Abstract
Many mathematicians have studied various relations beween Euler number $E_n$, Bernoulli number $B_n$ and Genocchi number $G_n$ (see [1-18]). They have found numerous important applications in number theory. Howard, T.Agoh, S.-H.Rim have studied Genocchi numbers, Bernoulli numbers, Euler numbers and polynomials of these numbers [1,5,9,15]. T.Kim, M.Cenkci, C.S.Ryoo, L. Jang have studied the q-extension of Euler and Genocchi numbers and polynomials [6,8,10,11,14,17]. In this paper, our aim is introducing and investigating an extension term of generalized Euler polynomials. We also obtain some identities and relations involving the Euler numbers and the Euler polynomials, the Genocchi numbers and Genocchi polynomials.
Keywords
the generalized Euler polynomials of the second kind; Euler numbers; Genocchi numbers; Bernoulli numbers; Stirling numbers of the first kind; Stirling numbers of the second kind;
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Times Cited By KSCI : 2  (Citation Analysis)
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