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 Title: Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation Author(s): Deaño, AlfredoSegura, Javier Publisher: Elsevier Issued date: Sep-2007 Citation: Journal of Approximation Theory, 2007, vol. 148, n. 1, p. 92-110 URI: http://hdl.handle.net/10016/6632 ISSN: 0021-9045 DOI: 10.1016/j.jat.2007.02.005 Description: 19 pages, 2 figures.-- MSC2000 codes: 33C45; 34C10; 26D20.MR#: MR2356577 (2010c:33008)Zbl#: Zbl 1145.33002 Abstract: Liouville-Green transformations of the Gauss hypergeometric equation with changes of variable $$z(x)=\int\sp xt\sp {p-1}(1-t)\sp {q-1}dt$$ are considered. When $p+q=1,\ p=0$ or $q=0$ these transformations, together with the application of Sturm theorems, lead to properties satisfied by all the real zeros $x_i$ of any of its solutions in the interval $(0,1)$. Global bounds on the differences $z(x_{k+1})-z(x_k),$ with \$ 0