Generalized Neumann and Kapteyn expansions. (1995)

• Record Type: Journal Article
• Authors: Exton, Harold
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 4(1995)
• Page Start: 415
• Page End: 421
• Publication Date: 1995
• Subjects: Neumann -- Kapteyn; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000384
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Certain formal series of a most general nature are specialized so as to deduce expansions in terms of a class of generalized hypergeometric functions. These series generalize the Neumann and Kapteyn series in the theory of Bessel functions, and their convergence is investigated. An example of a succinct expansion is also given.