An inequality for complete elliptic integrals (Q1323211)
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scientific article; zbMATH DE number 567013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inequality for complete elliptic integrals |
scientific article; zbMATH DE number 567013 |
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An inequality for complete elliptic integrals (English)
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13 July 1995
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In [the second author and \textit{J. Pfaltzgraff}, J. Math. Anal. Appl. 179, No. 1,110-119 (1993; Zbl 0797.31009)] it has been proved that \[ c_ 1 m(Q)\leq \mu(Q)\leq c_ 2 m(Q), \] where \(\mu(Q)\), \(m(Q)\) denote, respectively, the Robin modulus, and the exterior modulus of the rectangle \(Q\), and \(c_ 1\), \(c_ 2\) are some positive absolute constants. In the present paper the best values of the constants are given.
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extremal length
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Robin capacity
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