Turán inequalities for symmetric orthogonal polynomials

Joaquin Bustoz and Mourad E. H. Ismail

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-7

Abstract:

A method is outlined to express a Turán determinant of solutions of a three term recurrence relation as a weighted sum of squares. This method is shown to imply the positivity of Turán determinants of symmetric Pollaczek polynomials, Lommel polynomials and q -Bessel functions.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:356195

DOI: 10.1155/S016117129700001X

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