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- W207997643 abstract "Abstract. The aim of the present investigation is to give some crite-rion for certain multivalently analytic functions and (or) multivalentlymeromorphic functions in the corresponding domains. 1. Introduction and MotivationLet the non-normalized function Q a be non-constant, analytic and univalentin the unit open disc U = {z ∈ C : |z| < 1} such that Q a (0) = a, where a ∈ C.In this paper, we establish a theorem characterizing the inclusion property offunctions Q a , by using the well-known Jack’s Lemma and Nunakowa’s Lemma.Consequences of our main result are considered for certain multivalently ana-lytic functions and multivalently meromorphic functions in the certain domains.See, for example, some interesting papers concerning multivalently analyticfunctions, multivalently meromorphic functions and (or) certain differential in-equalities [6-10].First, we mention the following results which are used in the next section.Lemma 1 (Jack’s Lemma, [4]). Let ω(z) be non-constant and regular in U withω(0) = 0. If |ω(z)| attains its maximum value on the circle |z| = r (0 < r < 1)at the point z" @default.
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- W207997643 date "2009-01-01" @default.
- W207997643 modified "2023-09-28" @default.
- W207997643 title "SOME CRITERION FOR CERTAIN MULTIVALENTLY ANALYTIC FUNCTIONS AND MULTIVALENTLY MEROMORPHIC FUNCTIONS" @default.
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