Article ID Journal Published Year Pages File Type
4608167 Journal of Approximation Theory 2007 19 Pages PDF
Abstract

Liouville–Green transformations of the Gauss hypergeometric equation with changes of variable 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 xi of any of its solutions in the interval (0,1). Global bounds on the differences z(xk+1)-z(xk), 0

Related Topics
Physical Sciences and Engineering Mathematics Analysis