"Turán Inequalities for Symmetric Orthogonal Polynomials" by Joaquin Bustoz and Mourad E. H. Ismail
 

Document Type

Article

Publication Date

1997

Digital Object Identifier (DOI)

https://doi.org/10.1155/S016117129700001X

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.

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Citation / Publisher Attribution

International Journal of Mathematics and Mathematical Sciences, v. 20, art. 356195

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