Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma IntegralsReport as inadecuate




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Abstract and Applied AnalysisVolume 2009 2009, Article ID 168672, 18 pages

Review ArticleDepartment of Mathematics, Ohio Northern University, Ada, OH 45810, USA

Received 15 May 2009; Accepted 4 August 2009

Academic Editor: Lance Littlejohn

Copyright © 2009 Khristo N. Boyadzhiev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This article is a short elementary review of the exponential polynomials alsocalled single-variable Bell polynomials from the point of view of analysis. Some new propertiesare included, and several analysis-related applications are mentioned. At the end of the paper oneapplication is described in details—certain Fourier integrals involving and are evaluated in terms of Stirling numbers.





Author: Khristo N. Boyadzhiev

Source: https://www.hindawi.com/



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