• 대한수학회보
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• 제40권4호
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• pp.671-675
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• 2003

The object of the present paper is to give an univalence condition for analytic functions in the open unit disk U by using the properties for subordination chains.

• 대한수학회지
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• 제48권1호
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• pp.179-189
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• 2011

The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk U. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제2권2호
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• pp.141-148
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• 1995

In this paper we shall consider function p(z) analytic in the open unit circle D and the solutions y(z) of the differential equation y"(Z) ＋ p(z)y(z) = 0. (1.1) The ratio f(z) = u(z)/v(z) of any two independent solutions u(z) and v(z) of (1.1) will be function f(z), meromorphic in D with only simple poles, and such that f'(z) (equation omitted) 0. We shall say that a meromorphic function which satisfies these two condition belongs to the restricted class.(omitted)