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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 to t...

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I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Slavko Simić, Matti Vuorinen
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Wiley 2012-01-01
Rangatū:Abstract and Applied Analysis
Urunga tuihono:http://dx.doi.org/10.1155/2012/932061
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