Generalized Neumann and Kapteyn expansions

Harold Exton

International Journal of Stochastic Analysis, 1995, vol. 8, 1-7

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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:569708

DOI: 10.1155/S1048953395000384

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