Conformal blocks of q, t-deformed Virasoro and \({\mathcal {W}}\) -algebras are important special functions in representation theory with applications in geometry and physics. In the Nekrasov–Shatashvili limit \(t \rightarrow 1\) , whenever one of the representations is degenerate then conformal block satisfies a difference equation with respect to the coordinate associated with that degenerate representation. This is a stationary Schrodinger equation for an appropriate relativistic quantum integrable system. It is expected that generalization to generic \(t \ne 1\) is a non-stationary Schrodinger equation where t parametrizes shift in time. In this paper we make the non-stationary equation explicit for the q, t-Virasoro block with one degenerate and four generic Verma modules and prove it when three modules out of five are degenerate, using occasional relation to Macdonald polynomials.
