Landen inequalities for hypergeometric functions

S.-L. Qiu; M. Vuorinen

doi:nmj/1114631219

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Home > Journals > Nagoya Math. J. > Volume 154 > Article

1999 Landen inequalities for hypergeometric functions

S.-L. Qiu, M. Vuorinen

Nagoya Math. J. 154: 31-56 (1999).

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Abstract

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