Transcendental meromorphic solutions and the complex Schrödinger equation with delay

Tingbin Cao, Risto Korhonen, Wenlong Liu

In this article, we focus on studying the differential-difference equation \[ f'(z) = a(z)f(z+1) + R(z, f(z)), \quad R(z, f(z)) = \frac{P(z, f(z))}{Q(z, f(z))}, \] where the two no…