Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations (Q1300810)
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scientific article; zbMATH DE number 1331093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations |
scientific article; zbMATH DE number 1331093 |
Statements
Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations (English)
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2 September 1999
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\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.
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confluent hypergeometric function
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modified Bessel function
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Whittaker function
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Buchholz polynomials
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0.85342956
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0.8526954
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0.8471994
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0.8467666
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0.8462224
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0.8448907
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0.8414159
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0.8410217
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