A survey of some bounds for Gauss' hypergeometric function and related bivariate means
Item
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Title
A survey of some bounds for Gauss' hypergeometric function and related bivariate means
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Description
dx.doi.org/10.7153/jmi-04-06
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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, 45-52.
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uri
http://collections.southwestern.edu/s/suscholar/item/260
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Abstract
We give an expository summary of a collection of inequalities involving Gauss’ hyper-geometric function 2F1 and the closely-related power mean (and certain other bivariate means). Two conjectures involving simultaneous sharp bounds for the hypergeometric function are included. Sharpness for the corresponding zero-balanced case is observed.
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Publisher
Journal of Mathematical Inequalities
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Subject
Gauss’ hypergeometric function
H ̈older/power mean
Arithmetic-geometric mean
Logarithmic mean
Stolarsky mean
