Abstract
The main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives. The general Besov-type classes of meromorphic functions as well as the general normal functions are considered intensively and both are compared deeply with each other. Specifically, multiple results concerning general meromorphic-type classes as well as non-normal classes are obtained by the help of general spherical derivatives. The concerned results are proved by constructing some specific mild conditions on the sequences of points belonging to the concerned meromorphic-type classes. The obtained results generalize and improve the corresponding previous results in some concerned respects. The concerned proofs and methods are simply presented.
Highlights
E concerned meromorphic counterpart of the Blochtype space is the class of all concerned normal functions N; this class of meromorphic functions can be extended to the following concerned class
Suppose that the function h stands for a concerned meromorphic function in U. e concerned sequence of points am(|am| ⟶ 1) in U is called a q(N,n)-sequence if lim m⟶∞
Considering the concerned sequence cm m2/(1 + m2), after simple computation, we deduce that lim 1 m⟶∞
Summary
E concerned meromorphic counterpart of the Blochtype space is the class of all concerned normal functions N (see [1, 9]); this class of meromorphic functions can be extended to the following concerned class. There have been obvious interests on meromorphic function classes, from concerned point of view of their singularities. Suppose that the function h stands for a concerned meromorphic function in U. e concerned sequence of points am(|am| ⟶ 1) in U is called a q(N,n)-sequence if lim m⟶∞ In Definitions 2, by letting n 1, we obtain the class of all usual normal functions N (see [1, 9]).
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