Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations

DOI10.1016/S0377-0427(99)00226-5zbMath0940.33001MaRDI QIDQ1300810

Julio Abad, Javier Sesma

Publication date: 2 September 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

confluent hypergeometric functionmodified Bessel functionWhittaker functionBuchholz polynomials

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions ⋮ New recurrence relations for several classical families of polynomials

Cites Work

• Unnamed Item
• A new expansion of the confluent hypergeometric function in terms of modified Bessel functions
• On the expansion of confluent hypergeometric functions in terms of Bessel functions
• Uniform Asymptotic Expansions of a Class of Integrals in Terms of Modified Bessel Functions, with Application to Confluent Hypergeometric Functions
• The Confluent Hypergeometric Function

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