2009/01/01 by Khristo N. Boyadzhiev · 55 citations
Mathematics · #Advanced Mathematical Identities #Bell polynomials #Exponential function #Exponential polynomial #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Point (geometry) #Stirling engine #Stirling number #Stirling numbers of the first kind #Stirling numbers of the second kind #math.CA #math.CO #msc:11B68 #msc:11C08 #msc:11M35 #msc:33B99
paper · pdf · doi:10.1155/2009/168672
published in Abstract and Applied Analysis 2009(1) (Hindawi Publishing Corporation) · Updated January 2010
openalex publication_date 2009/01/01 · arxiv created 2010/03/10 · openalex created_date 2016/06/24 · arxiv updated 2016/10/10 · openalex updated_date 2026/08/05
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 + i t ) and Γ ( a + i t ) Γ ( b − i t ) are evaluated in terms of Stirling numbers.