scholarly journals Some Basic Lommel Polynomials

1999 ◽  
Vol 96 (2) ◽  
pp. 345-365 ◽  
Author(s):  
H.T Koelink
Keyword(s):  
Lommel Polynomials

A generalization of Lommel polynomials

1958 ◽  
Vol 25 (1) ◽  
pp. 73-82
Author(s):  
A. M. Chak
Keyword(s):  
Lommel Polynomials

scholarly journals Turán inequalities for symmetric orthogonal polynomials

1997 ◽  
Vol 20 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Joaquin Bustoz ◽  
Mourad E. H. Ismail
Keyword(s):  
Orthogonal Polynomials ◽  
Recurrence Relation ◽  
Bessel Functions ◽  
Sum Of Squares ◽  
Weighted Sum ◽  
Pollaczek Polynomials ◽  
Lommel Polynomials ◽  
Three Term Recurrence Relation

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 andq-Bessel functions.

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