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Landen inequalities for hypergeometric functions

Published online by Cambridge University Press:  22 January 2016

S.-L. Qiu  and
M. Vuorinen
S.-L. Qiu
Affiliation:
President’s Office, Hangzhou Institute of Electronics Engineering, Hangzhou 310037, P. R. CHINA
M. Vuorinen
Affiliation:
Department of Mathematics, P.O. Box 4 (Yliopistonkatu 5), University of Helsinki, FIN-00014, FINLAND, [email protected]
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Abstract

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A generalization of the Landen identity, in the form of an inequality, is proved for hypergeometric functions. Some well-known asymptotic formulas are refined.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 154 , 1999 , pp. 31 - 56
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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