Browsing Faculty Scholarship by Subject "Elliptic integral"

Now showing items 1-2 of 2

Inequalities for zero-balanced hypergeometric functions

Richards, Kendall C. (Transactions of the American Mathematical Society, 1995)

The authors study certain monotoneity and convexity properties of the Gaussian hypergeometric function and those of the Euler gamma function.
Sharp power mean bounds for the Gaussian hypergeometric function

Richards, Kendall C. (Journal of Mathematical Analysis and Applications, 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 hyper- geometric mean.

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