Meromorphic solutions of a Riccati differential equation with a doubly periodic coefficient (Q1772384)

The paper is devoted to the study of the frequency of \(\alpha\)-points and poles of meromorphic solutions of the Riccati differential equation \[ w'+ w^2+ p(z)= 0, \] where \(p\) is a nonconstant doubly periodic meromorphic function. Assumptions are derived, under which every solution is meromorphic and its growth order is equal to 2. The paper closes with the discussion of examples for the function \(p\) involving the Weierstrass P-function.