Turán inequalities for symmetric orthogonal polynomials
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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Main Authors: | Joaquin Bustoz, Mourad E. H. Ismail |
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Format: | Article |
Language: | English |
Published: |
Wiley
1997-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S016117129700001X |
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