A property of the zeros of the Legendre polynomials
Journal of Approximation Theory
New inequalities from classical sturm theorems
Journal of Approximation Theory
SIAM Journal on Numerical Analysis
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Liouville-Green transformations of the Gauss hypergeometric equation with changes of variable z(x)=@!^xt^p^-^1(1-t)^q^-^1dt 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), 0