Positivity of Tur\'an determinants for orthogonal polynomials
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Publication:4370045
zbMath0884.33006arXiv0710.3389MaRDI QIDQ4370045
Publication date: 2 February 1998
Full work available at URL: https://arxiv.org/abs/0710.3389
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear difference operators (47B39)
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Positivity of Turán determinants for orthogonal polynomials. II ⋮ Differential equation and inequalities of the generalized \(\mathtt{k}\)-Bessel functions ⋮ Posterior probabilities: nonmonotonicity, asymptotic rates, log-concavity, and Turán's inequality ⋮ Log-convexity and log-concavity of hypergeometric-like functions ⋮ Turán's inequality for ultraspherical polynomials revisited ⋮ Closed form solutions of linear difference equations in terms of symmetric products ⋮ Turán's inequality for the Kummer function of the phase shift of two parameters ⋮ Turán inequalities for three-term recurrences with monotonic coefficients ⋮ On Turán's inequality for Legendre polynomials ⋮ Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane ⋮ Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ Bounds on Turán determinants
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