Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/168672 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |