Generalized little q-Jacobi polynomials as eigensolutions of higher-order q-difference operators

We consider the polynomials p(n)(x; a, b; M) obtained from the little q-Jac obi polynomials p(n)(x; a, b) by inserting a discrete mass M at x = 0 in th e orthogonality measure. We show that for a = q(j), j = 0, 1, 2,..., the po lynomials p(n)(x; a, b; M) are eigensolutions of a linear q-difference oper ator of order 2j + 4 with polynomial coefficients. This provides a q-analog of results recently obtained for the Krall polynomials.