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Journal of Applied Mathematics
Volume 2013, Article ID 158130, 10 pages
http://dx.doi.org/10.1155/2013/158130
Research Article

A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers

Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea

Received 28 June 2013; Accepted 23 August 2013

Academic Editor: Ch. Tsitouras

Copyright © 2013 J. Y. Kang and C. S. Ryoo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the polynomials in complex plane. We find out some identities and properties related to polynomials . Finally, we also derive interesting relations between polynomials , Stirling numbers, central factorial numbers, and Euler numbers.