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2009 Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals
Khristo N. Boyadzhiev
Abstr. Appl. Anal. 2009: 1-18 (2009). DOI: 10.1155/2009/168672

Abstract

This article is a short elementary review of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of analysis. Some new properties are included, and several analysis-related applications are mentioned. At the end of the paper one application is described in details—certain Fourier integrals involving Γ(a+it) and Γ(a+it)Γ(bit) are evaluated in terms of Stirling numbers.

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Khristo N. Boyadzhiev. "Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals." Abstr. Appl. Anal. 2009 1 - 18, 2009. https://doi.org/10.1155/2009/168672

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1237.11011
MathSciNet: MR2545183
Digital Object Identifier: 10.1155/2009/168672

Rights: Copyright © 2009 Hindawi

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