Landen inequalities for Gaussian hypergeometric function (Q2063006)
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scientific article; zbMATH DE number 7454680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Landen inequalities for Gaussian hypergeometric function |
scientific article; zbMATH DE number 7454680 |
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Landen inequalities for Gaussian hypergeometric function (English)
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10 January 2022
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The paper contains several Landen inequalities, and quadratic and cubic transformation inequalities for the general Gaussian hypergeometric function \(_2F_1(a, b; c ;x)\). The authors present Landen inequalities and other Ramanujan's quadratic, cubic transformation inequalities for the Gaussian hypergeometric function \(F(a,b;c;r)\) which are generalizations of known ones for two classes of hypergeometric functions \(F(a,b;a+b;r)\) and \(F(a,b;a+b+12;r)\), they improve and refine results given before.
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Gaussian hypergeometric function
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Landen identity
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Landen inequalities
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Ramanujan transformation
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