Some results for a class of generalized elliptic-type integrals (Q1178520)
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scientific article; zbMATH DE number 21780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results for a class of generalized elliptic-type integrals |
scientific article; zbMATH DE number 21780 |
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Some results for a class of generalized elliptic-type integrals (English)
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26 June 1992
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The authors consider a modified form of the Epstein-Hubbell function \[ \Omega_ \mu(k)=\int_ 0^ \pi (1-k^ 2\cos \theta)^{-\mu- 1/2}d\theta, \qquad \text{Re}(\mu)>-1/2, \quad 0\leq k<1. \] Some recurrence differential relations and integral properties for \(\Omega_ \mu(k)\) are obtained.
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Epstein-Hubbell function
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recurrence differential relations
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