Some sufficient conditions for univalence
نویسندگان
چکیده
منابع مشابه
Some Sufficient Conditions for Univalence
A new subclass R(u), 0 < u < I, of the class St(I/2) the class of starlike functions of order I/2 is introduced and it is shown that R(u) is closed with respect to the Hadamard product of analytic functions. Some sufficient conditions for the normalized regular functions to be univalent in the unit disk E are given.
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In this paper the method of subordination chains is used to establish some sufficient conditions for univalence for analytic functions defined in the open unit disk.
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In this paper some simple conditions on f ′(z) and f ′′(z) which lead to some subclasses of univalent functions will be considered.
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The object of the present paper is to derive certain sufficient conditions for univalence, p-valently starlikeness and p-valently close-to-convexity of analytic functions in the unit disk. Our results extend and improve some results due to Owa [3], Frasin and Darus [2] and Chen [1].
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It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1991
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171291000856