Carlson, B. C.; Gustafson, John L. Total positivity of mean values and hypergeometric functions. (English) Zbl 0515.33002 SIAM J. Math. Anal. 14, 389-395 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 33E05 Elliptic functions and integrals 26D15 Inequalities for sums, series and integrals 33C05 Classical hypergeometric functions, \({}_2F_1\) Keywords:total positivity; mean values; arithmetic-geometric mean; elliptic integrals; convolution integral PDFBibTeX XMLCite \textit{B. C. Carlson} and \textit{J. L. Gustafson}, SIAM J. Math. Anal. 14, 389--395 (1983; Zbl 0515.33002) Full Text: DOI Link