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Inequalities for zeros of Jacobi polynomials via Sturm's theorem: Gautschi's conjectures
(Springer, 2014-11-01)
Let x(n,k)((alpha,beta)), k = 1, ... , n, be the zeros of Jacobi polynomials P-n((alpha,beta)) (x) arranged in decreasing order on (-1, 1), where alpha, beta > -1, and theta((alpha,beta))(n,k) = arccos x(n,k)((alpha,beta)). ...
Inequalities For Zeros Of Jacobi Polynomials Via Sturm’s Theorem: Gautschi’s Conjectures
(Kluwer Academic Publishers, 2014)
Oscillatory secular modes: the thermal micropulses
(EDP Sciences, 2007-12)
Aims. Stars in the narrow mass range of about 2.5 and 3.5 M can develop a thermally unstable He-burning shell during its ignition phase. We study, from the point of view secular stability theory, these so-called thermal ...