Sufficiency Criteria for a Class of -Valent Analytic Functions of Complex Order
نویسندگان
چکیده
منابع مشابه
Sufficiency Criteria for a Class of p-Valent Analytic Functions of Complex Order
and Applied Analysis 3 Proof. Let p(z) be given by (11), which clearly belongs to the class A(n). Now differentiating (11), we have p (z) = ( f (z) ∗ g (z) z ) 1/(p+b−1) × 1 p + b − 1 { z(f (z) ∗ g (z)) f (z) ∗ g (z) + b − 1} (20) which gives arg p (z) = arg( f (z) ∗ g (z) z ) 1/(p+b−1) + arg{ 1 p+b−1 ( z(f (z) ∗ g (z)) f (z) ∗ g (z) +b−1)} . (21) Thus using (...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/517296