Note on the <inline-formula> <graphic file="1029-242X-2009-136532-i1.gif"/></inline-formula>-Extension of Barnes' Type Multiple Euler Polynomials

<p/> <p>We construct the <inline-formula> <graphic file="1029-242X-2009-136532-i2.gif"/></inline-formula>-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formu...

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Bibliographic Details
Main Authors: Kim Taekyun, Kim Young-Hee, Hwang Kyung-Won, Jang Leechae
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2009/136532
Description
Summary:<p/> <p>We construct the <inline-formula> <graphic file="1029-242X-2009-136532-i2.gif"/></inline-formula>-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our <inline-formula> <graphic file="1029-242X-2009-136532-i3.gif"/></inline-formula>-Euler polynomials of higher order by using the multiple integral equations on <inline-formula> <graphic file="1029-242X-2009-136532-i4.gif"/></inline-formula>.</p>
ISSN:1025-5834
1029-242X