Journal article
Some Explicit Pade Approximants for the Function ${{\Phi '} / \Phi }$ and a Related Quadrature Formula Involving Bessel Functions
SIAM journal on mathematical analysis, v 16(4), pp 887-895
01 Jul 1985
Abstract
In this paper we determined in closed form the $[n\mid n]$ Pade approximant for the logarithmic derivative of the confluent hypergeometric function of the first kind, and also an explicit formula for the error. We next show how the recurrence defining the numerators and denominators of the approximants can be used to deduce a certain discrete orthogonality relationship. A consequence of this is a discrete orthogonality relation for the Bessel function of the first kind and an exact quadrature formula involving this function.
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Details
- Title
- Some Explicit Pade Approximants for the Function ${{\Phi '} / \Phi }$ and a Related Quadrature Formula Involving Bessel Functions
- Creators
- Jet Wimp
- Publication Details
- SIAM journal on mathematical analysis, v 16(4), pp 887-895
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1985ALC2500018
- Other Identifier
- 991019312361604721
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- Web of Science research areas
- Mathematics, Applied