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Title
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A survey of some bounds for Gauss' hypergeometric function and related bivariate means
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Description
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dx.doi.org/10.7153/jmi-04-06
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Creator
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Richards, Kendall C.
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Date
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2018-02-27
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Date Available
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2018-02-27
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Date Issued
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2010
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Identifier
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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
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http://collections.southwestern.edu/s/suscholar/item/260
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Abstract
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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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Language
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English
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Publisher
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Journal of Mathematical Inequalities
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Subject
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Gauss’ hypergeometric function
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H ̈older/power mean
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Arithmetic-geometric mean
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Logarithmic mean
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Stolarsky mean
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Type
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Article
