Abstract
In this paper, we study the existence of solutions for the general q-Lidstone problem:
(D(q-1)(rn)f)(1) = a(n), (D(q-1)(sn)f)(0) = b(n), (n is an element of N)
where (r(n))(n) and (s(n))(n) are two sequences of non-negative integers and (a(n))(n) and (b(n))(n) are two sequences of complex numbers. We define a q(-1)-standard set of polynomials and then we introduce a generalization of the q-Lidstone expansion theorem.