Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

Khristo N. Boyadzhiev

Abstract and Applied Analysis, 2009, vol. 2009, 1-18

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 ( ð ‘Ž + ð ‘– ð ‘¡ ) and Γ ( ð ‘Ž + ð ‘– ð ‘¡ ) Γ ( ð ‘ âˆ’ ð ‘– ð ‘¡ ) are evaluated in terms of Stirling numbers.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:168672

DOI: 10.1155/2009/168672

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