Landen Inequalities for Zero-Balanced Hypergeometric Functions

Slavko Simić and Matti Vuorinen

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

For zero-balanced Gaussian hypergeometric functions , , we determine maximal regions of plane where well-known Landen identities for the complete elliptic integral of the first kind turn on respective inequalities valid for each . Thereby an exhausting answer is given to the open problem from the work by Anderson et al., 1990.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:932061

DOI: 10.1155/2012/932061

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