Abstract
By using Ahlfors' theory of a covering surface, we establish the existence of a new singular direction for a meromorphic function 𝑓, namely a 𝑇 direction for 𝑓, for which the Nevanlinna characteristic function 𝑇(𝑟, 𝑓) is used as a comparison function. Then we prove that every 𝑇 direction is a Borel direction for meromorphic function with finite and positive regular growth order.
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