Special Numbers on Analytic Functions

Yilmaz Simsek

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

DOI: 10.4236/am.2014.57102                

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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