Identities of Symmetry for qEuler Polynomials
In this paper, we derive eight basic identities of symmetry in three variables related to qEuler polynomials and the q analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance... Full description
Journal Title:  Open Journal of Discrete Mathematics Apr 2011, Vol.1(1), pp.2231 
Main Author:  Kim, Dae 
Format:  Electronic Article 
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English 
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ID:  ISSN: 21617635 ; EISSN: 21617643 ; DOI: 10.4236/ojdm.2011.11003 
Link:  http://search.proquest.com/docview/1464547656/ 
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title:  Identities of Symmetry for qEuler Polynomials 
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ispartof:  Open Journal of Discrete Mathematics, Apr 2011, Vol.1(1), pp.2231 
description:  In this paper, we derive eight basic identities of symmetry in three variables related to qEuler polynomials and the q analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of identities are based on the padic integral expression of the generating function for the q Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the q analogue of alternating power sums. 
language:  eng 
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identifier:  ISSN: 21617635 ; EISSN: 21617643 ; DOI: 10.4236/ojdm.2011.11003 
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