TY: JOUR
T1 - Orthogonal polynomial interpretation of q-Toda and q-Volterra equations
A1 - Área, Ivan
A1 - Branquinho, Amílcar
A1 - Godoy, Eduardo
A1 - Moreno, Ana Foulquié
N2 - The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the Jacobi operator and its resolvent function are established. The orthogonal polynomials associated with these Jacobi operators satisfy an Appell condition, with respect to the q-difference operator Dq
. Lax type theorems for the point spectrum of the Jacobi operators associated with these equations are obtained. Examples related with the big q-Legendre, discrete q-Hermite I, and little q-Laguerre orthogonal polynomials and q-Toda and q-Volterra equations are given.
UR - https://ria.ua.pt/handle/10773/21862
Y1 - 2018
PB - Springer Singapore