A survey of some bounds for Gauss' hypergeometric function and related bivariate means
Item

Title
A survey of some bounds for Gauss' hypergeometric function and related bivariate means

Description
dx.doi.org/10.7153/jmi0406

Identifier
Barnard, R. W., Richards, K. C., & Tiedeman, H. C. (January 01, 2010). A survey of some bounds for Gauss' hypergeometric function and related bivariate means. Journal of Mathematical Inequalities, 1, 4552.

uri
http://collections.southwestern.edu/s/suscholar/item/260

Abstract
We give an expository summary of a collection of inequalities involving Gauss’ hypergeometric function 2F1 and the closelyrelated power mean (and certain other bivariate means). Two conjectures involving simultaneous sharp bounds for the hypergeometric function are included. Sharpness for the corresponding zerobalanced case is observed.

Publisher
Journal of Mathematical Inequalities

Subject
Gauss’ hypergeometric function
H ̈older/power mean
Arithmeticgeometric mean
Logarithmic mean
Stolarsky mean