Sharp power mean bounds for the Gaussian hypergeometric function. (English) Zbl 1065.33005

Richards, Kendall C.

J. Math. Anal. Appl. 308, No. 1, 303-313 (2005).

Sharp inequalities are established between the Gaussian hypergeometric function and the power mean. These results extend known inequalities involving the complete elliptic integral and the hypergeometric mean.

Reviewer: Francisco Perez Acosta (La Laguna)

MSC:

33C20

Generalized hypergeometric series, \({}_pF_q\)

Keywords:

Hypergeometric function; Elliptic integral; Power mean

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