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http://dx.doi.org/10.14317/jami.2019.317

SYMMETRIC PROPERTIES OF CARLITZ'S TYPE (p, q)-GENOCCHI POLYNOMIALS  

KIM, A HYUN (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.37, no.3_4, 2019 , pp. 317-328 More about this Journal
Abstract
This paper defines Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, and explains fourteen properties which can be complemented by Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, including distribution relation, symmetric property, and property of complement. Also, it explores alternating powers sums by proving symmetric property related to Carlitz's type (p, q)-Genocchi polynomials.
Keywords
Hurwitz Euler Zeta function; Genocchi polynomials and numbers; (p, q)-Genocchi polynomials;
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