multiple orthogonal polynomials
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2021 ◽  
pp. 17-24
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev




Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1460
Author(s):  
Jorge Arvesú ◽  
Andys M. Ramírez-Aberasturis

We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure. The r components of each vector measure are q-analogues of Meixner measures of the first and second kind, respectively. These polynomials have lowering and raising operators, which lead to the Rodrigues formula, difference equation of order r+1, and explicit expressions for the coefficients of recurrence relation of order r+1. Some limit relations are obtained.





2020 ◽  
Vol 250 ◽  
pp. 105324
Author(s):  
Marjolein Leurs ◽  
Walter Van Assche


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