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math.CA2021
A characterization of continuous -Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials
K. Castillo, D. Mbouna, J. Petronilho
The purpose of this note is to characterize those orthogonal polynomials sequences for which $$ π(x)\mathcal{D}_q P_n(x)=(a_n x+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0…
math.CA2021
Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind
K. Castillo, D. Mbouna, J. Petronilho
The purpose of this note is twofold: firstly to characterize all the sequences of orthogonal polynomials such that $$ \frac{\triangle}{{\bf \triangle} x(s-1/2)}P_…
math.CA2021
On the functional equation for classical orthogonal polynomials on lattices
K. Castillo, D. Mbouna, J. Petronilho
Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. M…