A Note on Some Riccati Differential Equations

We present some existence results on meromorphic solutions of the complex Riccati differential equations of type

\(f(z)^{2}+af(z)+q(z)e^{Q(z)}f^{\prime}(z)=0,\)

where \(a\) is a constant, \(q(z)\) is a nonzero small function of \(e^{Q(z)}\) and \(Q(z)\) is a nonconstant polynomial.