Classical orthogonal polynomials with weight function ((<i>ax</i> + <i>b</i>)<sup>2</sup> + (<i>cx</i> + <i>d</i>)<sup>2</sup>)<sup>−<i>p</i></sup>exp(<i>q</i>Arctg((<i>ax</i> + <i>b</i>)/(<i>cx</i> + <i>d</i>))),<i>x</i> ∈ (−∞, ∞) and a generalization of T and F distributions (Q4822857)
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scientific article; zbMATH DE number 2110328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical orthogonal polynomials with weight function ((<i>ax</i> + <i>b</i>)<sup>2</sup> + (<i>cx</i> + <i>d</i>)<sup>2</sup>)<sup>−<i>p</i></sup>exp(<i>q</i>Arctg((<i>ax</i> + <i>b</i>)/(<i>cx</i> + <i>d</i>))),<i>x</i> ∈ (−∞, ∞) and a generalization of T and F distributions |
scientific article; zbMATH DE number 2110328 |
Statements
Classical orthogonal polynomials with weight function ((<i>ax</i> + <i>b</i>)<sup>2</sup> + (<i>cx</i> + <i>d</i>)<sup>2</sup>)<sup>−<i>p</i></sup>exp(<i>q</i>Arctg((<i>ax</i> + <i>b</i>)/(<i>cx</i> + <i>d</i>))),<i>x</i> ∈ (−∞, ∞) and a generalization of T and F distributions (English)
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25 October 2004
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hypergeometric functions
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Finite approximation
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T-sampling distribution function
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F-sampling distribution function
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normal distribution function
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gamma distribution function
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