Identities of Symmetry for q-Euler Polynomials

Dae San Kim

doi:10.4236/ojdm.2011.11003

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Identities of Symmetry for q-Euler Polynomials ()

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DOI: 10.4236/ojdm.2011.11003 7,516 Downloads 14,311 Views Citations

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Dae San Kim

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ABSTRACT

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 interesting ones. The derivations of identities are based on the p-adic 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.

KEYWORDS

q -Euler Polynomial, q -Analogue of Alternating Power sum, Fermionic Integral, Identities of Symmetry

Cite this paper

D. Kim, "Identities of Symmetry for q-Euler Polynomials," Open Journal of Discrete Mathematics, Vol. 1 No. 1, 2011, pp. 22-31. doi: 10.4236/ojdm.2011.11003.

Conflicts of Interest

The authors declare no conflicts of interest.

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