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

Boyadzhiev, Khristo N.
January 2009
Abstract & Applied Analysis;2009, Special section p1
Academic Journal
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(b-it) are evaluated in terms of Stirling numbers.


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