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http://dx.doi.org/10.14317/jami.2017.599

SOME PROPERTIES OF DEGENERATED EULER POLYNOMIALS OF THE SECOND KIND USING DEGENERATED ALTERNATIVE POWER SUM  

KANG, JUNG YOOG (Department of Information and Statistics, Anyang University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.5_6, 2017 , pp. 599-609 More about this Journal
Abstract
We construct degenerated Euler polynomials of the second kind and find some basic properties of this polynomials. From this paper, we can see degenerated alternative power sum is defined and is related to degenerated Euler polynomials of the second kind. Using this power sum, we have a number of symmetric properties of degenerated Euler polynomials of the second kind.
Keywords
degenerated Euler polynomials of the second kind; degenerated alternative power sum; symmetric property;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 M. Alkan and Y. Simsek, Generating function for q-Eulerian polynomials and their decomposition and applications, Fixed Point Theory and Applications 2013:72 (2013).   DOI
2 R.P. Agarwal, C.S. Ryoo, Calculating zeros of the generalized Genocchi Polynomials, J. Appl. Math. & Informatics 27 (2009), 453-462.
3 L. Carlitz, A note on Bernoulli and Euler polynomials of the second kind, Scripta Math. 25 (1961), 233-330.
4 Y.H. Kim, H.Y. Jung, C.S. Ryoo, On the generalized Euler polynomials of the second kind, J. Appl. Math. and Informatics 31 (2013), 623-630.   DOI
5 J.Y. Kang, C.S. Ryoo, A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials, Journal of Inequalities and Applications 2014:26 (2014).   DOI
6 J.H. Kwon, H.Y. Lee and C.S. Ryoo, On the ${\lambda}$-Genocchi polynomials and numbers of second kind, JP Journal of Algebra, Number Theory and Applications 35 (2014) 25-34.
7 B. Kurt, Some relationships between the generalized Apostol-Bernoulli and Apostol-Euler polynomials, Turkish Journal of Analysis and Number Theory 1 (2013), 54-58.
8 Q.M. Luo, H.M. Srivastava, Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials, Comuters and Mathematics with Applications 51 (2006), 631-642.   DOI
9 H. Ozden and Y. Simsek, Modification and unification of the Apostol-type numbers and polynomials and their applications, Applied Mathematics and Computation 235 (2014), 338-351.   DOI
10 C.S. Ryoo, A Note on the Zeros of the q-Bernoulli Polynomials, J. Appl. Math. & Informatics 28 (2010), 805-811.
11 Yilmaz Simsek, Identites associated with generalized Stirling type numbers and Eulerian type polynomials, Mathematical and Computational Applications 18 (2013), 251-263.   DOI
12 C.S. Ryoo, A numerical investigation on the zeros of the tangent polynomials, J. Appl. Math. & Informatics 32 (2014), 315-322.   DOI
13 C.S. Ryoo, Calculating zeros of the second kind Euler polynomials, J. Comput. Anal. Appl. 12 (2010), 828-833.
14 H.M. Srivastava, A. Pinter, Remarks on some relationships between the Bernoulli and Euler polynomials, Applied Mathematics Letters 17 (2004), 375-380.   DOI
15 Yilmaz Simsek, Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications, Fixed Point Theory and Applications 2013:87 (2013).   DOI