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Inequalities for zero-balanced hypergeometric functions. (English) Zbl 0826.33003
The authors examine certain monotoneity and convexity properties of the Gaussian zero-balanced hypergeometric functions, and the Euler gamma function. In particular they extend some known properties of the elliptic integral \({\mathcal K} (x)\).

33C05 Classical hypergeometric functions, \({}_2F_1\)
33B15 Gamma, beta and polygamma functions
26D07 Inequalities involving other types of functions
Full Text: DOI
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