منابع مشابه
p-VALENT HOLOMORPHIC FUNCTIONS WITH COMPLEX ORDER BY USING SUBORDINATION
A new class of multivalent holomorphic functions with complex order in terms of subordination is introduced. We find some properties of this class like, sufficient coefficient bound, integral operator and Feketo-Szego problem. AMS Mathematics Subject Classification (2000): Primary 30C45; Secondary 30C80
متن کاملOn Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination
The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z Ip r, λ f z j 1 / p − j Ip r, λ f z j ≺ a aB A − B β z /a 1 Bz , where Ip r, λ is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting pr...
متن کاملSufficiency 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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In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2012
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0399