Monotonicity properties and bounds for the complete \(p\)-elliptic integrals (Q5896846)
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scientific article; zbMATH DE number 7445955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity properties and bounds for the complete \(p\)-elliptic integrals |
scientific article; zbMATH DE number 7445955 |
Statements
Monotonicity properties and bounds for the complete \(p\)-elliptic integrals (English)
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15 December 2021
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The purpose of this article is to generalize inequalities for complete elliptic integrals to complete \(p\)-elliptic integrals and to discuss the monotonicity and convexity properties of the corresponding functions. The proofs use several lemmas and L'Hopital's rule.
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complete elliptic integral
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complete \(p\)-elliptic integral
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Gaussian hypergeometric function
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monotonicity
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convexity
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