Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations
type: Item
instance of: scholarly article
title: Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations
zbMATH Open document ID: 0940.33001
DOI: 10.1016/S0377-0427(99)00226-5
author: Julio Abad
author: J. Sesma
published in: Journal of Computational and Applied Mathematics
publication date: 1999-09-02T00:00:00Z
review text: \textit{H. Buchholz} [The confluent hypergeometric function with special emphasis on its applications (1969; Zbl 0169.08501), \S 7, Eq. (16)] gave a convergent expansion of the Whittaker function in a series of Bessel functions. Here this expansion is generalized to any solution of the confluent hypergeometric equation, by using a differential recurrence obeyed by the Buchholz polynomials.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 1331093
zbMATH Keywords: confluent hypergeometric function
zbMATH Keywords: modified Bessel function
zbMATH Keywords: Whittaker function
zbMATH Keywords: Buchholz polynomials
MaRDI profile type: Publication
cites work: A new expansion of the confluent hypergeometric function in terms of modified Bessel functions
cites work: Q5558293
cites work: The Confluent Hypergeometric Function
cites work: On the expansion of confluent hypergeometric functions in terms of Bessel functions
cites work: Uniform Asymptotic Expansions of a Class of Integrals in Terms of Modified Bessel Functions, with Application to Confluent Hypergeometric Functions
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description: scientific article; zbMATH DE number 1331093