منابع مشابه
Symmetric Identities for Euler Polynomials
In this paper we establish two symmetric identities on sums of products of Euler polynomials.
متن کاملSymmetric Identities of the q-Euler Polynomials
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 In this paper, we study some symmetric identities of q-Euler numbers and polynomials. From these properties, we derive several identities of q-Euler numbers and polynomials.
متن کاملSome symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials
In 2008, Liu and Wang established various symmetric identities for Bernoulli, Euler and Genocchi polynomials. In this paper, we extend these identities in a unified and generalized form to families of Hermite-Bernoulli, Euler and Genocchi polynomials. The procedure followed is that of generating functions. Some relevant connections of the general theory developed here with the results obtained ...
متن کاملIdentities of Symmetry for q-Euler Polynomials
In this paper, we derive eight basic identities of symmetry in three variables related to q-Euler 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 interest...
متن کاملSymmetric identities of modified q-Euler polynomials under the symmetric group of degree n
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ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 2010
ISSN: 0911-0119,1435-5914
DOI: 10.1007/s00373-010-0945-6