scholarly journals Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case

1997 ◽  
Vol 84 (2) ◽  
pp. 257-275 ◽  
Author(s):  
E. Godoy ◽  
A. Ronveaux ◽  
A. Zarzo ◽  
I. Area
Keyword(s):  
Orthogonal Polynomials ◽  
Recurrence Relations ◽  
Continuous Case ◽  
Classical Orthogonal Polynomials ◽  
Connection Coefficients

scholarly journals On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Paul Barry
Keyword(s):  
Orthogonal Polynomials ◽  
Closed Form ◽  
Chebyshev Polynomials ◽  
Recurrence Relations ◽  
Connection Coefficients ◽  
Riordan Arrays ◽  
Boubaker Polynomials ◽  
Riordan Array

The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection coefficients as well as recurrence relations that define them.

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