Exponential Polynomials, Stirling Numbers,and Evaluation of Some Gamma Integrals
Khristo N. Boyadzhiev
TL;DR
This survey explores exponential polynomials, their new properties, and analysis-related applications, providing insights into their mathematical structure and utility in evaluating gamma integrals.
Contribution
It introduces new properties of exponential polynomials and discusses their applications in analysis, including the evaluation of certain gamma integrals.
Findings
New properties of exponential polynomials are established.
Applications to gamma integral evaluation are discussed.
The survey enhances understanding of exponential polynomials in analysis.
Abstract
This article is a survey 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.
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