E-Valued Meromorphic Functions With Maximal Deficiency Sum∗
نویسندگان
چکیده
The purpose of this paper is to discuss the relationship between the characteristic function of an E-valued meromorphic function f and and that of its derivative f ′. Consequently, for a finite order E-valued meromorphic function f with maximal deficiency sum, we obtain that T (r, f ′) ∼ (2 − δ(∞̂, f))T (r, f) as r → +∞. Results are obtained to extend the related results for meromorphic scalar valued function of Weitsman Allen in [Weitsman, Allen. Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna. Acta Math. 123(1969), 115—139].
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