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http://dx.doi.org/10.14317/jami.2017.205

A RESEARCH ON A NEW APPROACH TO EULER POLYNOMIALS AND BERNSTEIN POLYNOMIALS WITH VARIABLE [x]q  

JUNG, NAM SOON (Department of Mathematics, Hannam University)
RYOO, CHEON SEOUNG (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.1_2, 2017 , pp. 205-215 More about this Journal
Abstract
In this paper, we consider a modified Euler polynomials ${\tilde{E}}_{n,q}(x)$ with variable $[x]_q$ and investigate some interesting properties of the Euler polynomials. We also give some relationships between the modified Euler polynomials and their Hurwitz zeta function. Finally, we derive some identities associated with Bernstein polynomials.
Keywords
modified Euler polynomials; zeta function; Bernstein polynomials;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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