Special Numbers on Analytic Functions - Applied Mathematics

AM > Vol.5 No.7, April 2014

Applied Mathematics

Volume 5, Issue 7 (April 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Special Numbers on Analytic Functions ()

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Download as PDF (Size: 296KB) PP. 1091-1098

DOI: 10.4236/am.2014.57102 3,626 Downloads 5,943 Views Citations

Author(s)

Yilmaz Simsek

Affiliation(s)

Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, Turkey.

ABSTRACT

The aim of this paper is to give some analytic functions which are related to the generating functions for the central factorial numbers. By using these functions and p-adic Volkenborn integral, we derive many new identities associated with the Bernoulli and Euler numbers, the central factorial numbers and the Stirling numbers. We also give some remarks and comments on these analytic functions, which are related to the generating functions for the special numbers.

KEYWORDS

Bernoulli Numbers, Euler Numbers, The Central Factorial Numbers , Array Polynomials, Stirling Numbers of the First Kind and the Second Kind, Generating Function, Functional Equation, Analytic Functions

Share and Cite:

Simsek, Y. (2014) Special Numbers on Analytic Functions. Applied Mathematics, 5, 1091-1098. doi: 10.4236/am.2014.57102.

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