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Special Numbers on Analytic Functions
Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, Turkey
- 1 Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, Turkey
Applied Mathematics·Volume 05 (2014)·Pages 1091–1098·Published 15 April 2014·DOI10.4236/am.2014.57102
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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.
KeywordsBernoulli NumbersEuler NumbersThe Central Factorial NumbersArray PolynomialsStirling Numbers of the First Kind and the Second KindGenerating FunctionFunctional EquationAnalytic Functions
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