An invariant p-adic q-integral associated with q-Euler numbers and polynomials

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Canguel I. N., Kurt V., ŞİMŞEK Y., Pak H. K., Rim S.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol.14, no.1, pp.8-14, 2007 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 14 Issue: 1
• Publication Date: 2007
• Doi Number: 10.2991/jnmp.2007.14.1.2
• Journal Name: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.8-14
• Akdeniz University Affiliated: Yes

Abstract

The purpose of this paper is to consider q-Euler numbers and polynomials which are q-extensions of ordinary Euler numbers and polynomials by the computations of the p-adic q-integrals due to T. Kim, cf. [1, 3, 6, 12], and to derive the "complete sums for q-Euler polynomials" which are evaluated by using multivariate p-adic q-integrals. These sums help us to study the relationships between p-adic q-integrals and non-archimedean combinatorial analysis.