Derivatives of meromorphic functions with multiple zeros and elliptic functions.

Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple except finitely many and T( r, h) = o{ T( r, f)} as r→ ∞, then f′ = h has infinitely many solutions (including poles). [ABSTRACT FROM AUTHOR]