Landen Inequalities for Zero-Balanced Hypergeometric Functions
For zero-balanced Gaussian hypergeometric functions F(a,b;a+b;x), a,b>0, we determine maximal regions of ab plane where well-known Landen identities for the complete elliptic integral of the first kind turn on respective inequalities valid for each x∈(0,1). Thereby an exhausting answer is given t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/932061 |
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