Circularly Symmetric Locally Univalent Functions

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چکیده

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On circularly symmetric functions

Let D ⊂ C and 0 ∈ D. A set D is circularly symmetric if for each % ∈ R a set D ∩ {ζ ∈ C : |ζ| = %} is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing %. A function f ∈ A is circularly symmetric if f(∆) is a circularly symmetric set. The class of all such functions we denote by X. The above definitions were given by Jenkins in [2]. In ...

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ژورنال

عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society

سال: 2016

ISSN: 0126-6705,2180-4206

DOI: 10.1007/s40840-016-0329-z