33 citations · 126 across the 35 of their papers we have counts for
37 papers
Terminating representations, transformations and summations for the and -symmetric subfamilies of the Askey--Wilson polynomials
Howard S. Cohl, Roberto S. Costas-Santos, Linus Ge
In this article, we exhaustively explore the terminating basic hypergeometric representations and transformations of the and -symmetric subfamilies of the Askey--Wilson…
The Laguerre constellation of classical orthogonal Polynomials
Roberto S. Costas-Santos
A linear functional is classical if there exist polynomials, and , with , , such that , where ${\ma…
Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications
Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani +1
This paper explores the operational principles and monomiality principle that significantly shape the development of various special polynomial families. We argue that applying the…
Asymptotics, orthogonality relations and duality for the and -symmetric polynomials in the -Askey scheme
Howard S. Cohl, Roberto S. Costas-Santos, Xiang-Sheng Wang
In this survey we summarize the current state of known orthogonality relations for the and -symmetric and dual subfamilies of the Askey--Wilson polynomials in the -A…
On Polar Jacobi Polynomials
Roberto S. Costas-Santos
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete-continuous Sobolev-type inner product def…
Localization of zeros of polar polynomials on the unit disc
Roberto S. Costas-Santos, Abdelhamid Rehouma
We derive a useful result about the zeros of the -polar polynomials on the unit circle; in particular we obtain a ring shaped region containing all the zeros of these polynomial…