TITLE:
Special Numbers on Analytic Functions
AUTHORS:
Yilmaz Simsek
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
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.7,
April
15,
2014
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.