Generalized Hersch-Pfluger distortion function and complete elliptic integrals (Q641573)
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scientific article; zbMATH DE number 5962602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Hersch-Pfluger distortion function and complete elliptic integrals |
scientific article; zbMATH DE number 5962602 |
Statements
Generalized Hersch-Pfluger distortion function and complete elliptic integrals (English)
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24 October 2011
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The main purpose of this paper is to study the relationship between the generalized Hersch-Pfluger distortion function \(\varphi_{K}^{a}(r)\) and complete elliptic integrals of the second kind \({\mathcal E} (r)\), and to establish several new inequalities for \(\varphi_{K}^{a}(r)\) and \({\mathcal E} (r)\).
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Gaussian hypergeometric function
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elliptic integrals
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generalized Hersch-Pfluger distortion function
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generalized modular equation
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