5 papers
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 $$ π(x)\mathcal{D}_q P_n(x)=(a_n x+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0…
Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind
K. Castillo, D. Mbouna, J. Petronilho
The purpose of this note is twofold: firstly to characterize all the sequences of orthogonal polynomials such that $$ \frac{\triangle}{{\bf \triangle} x(s-1/2)}P_…
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…
On classical orthogonal polynomials related to Hahn's operator
R. Álvarez-Nodarse, K. Castillo, D. Mbouna +1
Let be a nonzero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that the…
On another extension of coherent pairs of measures
K. Castillo, D. Mbouna
Let and be fixed non-negative integer numbers and let be a polynomial of degree . Suppose that and are two orthogonal polynomial…