Extremal problems for functions of positive real part with a fixed coefficient and applications
نویسندگان
چکیده
منابع مشابه
Some properties of analytic functions related with bounded positive real part
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Radius Constants for Analytic Functions with Fixed Second Coefficient
Let f(z) = z + ∑(n=2)(∞) (a)n(z) (n) be analytic in the unit disk with the second coefficient a2 satisfying |a2| = 2b, 0 ≤ b ≤ 1. Sharp radius of Janowski starlikeness is obtained for functions f whose nth coefficient satisfies |a(n)| ≤ cn + d (c, d ≥ 0) or |a(n)| ≤ c/n (c > 0 and n ≥ 3). Other radius constants are also obtained for these functions, and connections with earlier results are made.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1980
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1980.101679