Nonvanishing meromorphic univalent functions
نویسندگان
چکیده
منابع مشابه
Nonvanishing Univalent Functions*
The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + . . , analytic, univalent, and nonvanishing ...
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Article history: Received 23 April 2013 Accepted after revision 21 May 2013 Available online 30 May 2013 Presented by the Editorial Board Applying the Faber polynomial coefficient expansions to a class of meromorphic biunivalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0962817-9