Font Size: a A A

Convergence Angle Of The Analytic Functions Defined By The Operator To Estimate The Nature And The Convolution

Posted on:2007-06-05Degree:MasterType:Thesis
Country:ChinaCandidate:J L ChenFull Text:PDF
GTID:2190360185461061Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Making use of a linear operator Iλ,μ ,which is defined here by means of a Hadamard product, and satisfied , where , the author introduce three new classes of certain normalized analytic functions in the open unit disk.First, to the class Sλ,μ(m;h),we derive some inclusion relations,and the properties are kepted invariable under the integral operator .With the study of the class Sλ,μ(m;h),we can soon derive the inclusion properties of the next class Cλ,μ(m;h).But, we mainly discuss the argument estimates of the class Sλ,μ(m;h) on the basic of the inclusion relations.Next, to the class Sλ,μδ(A,B),we study the convolution properties and some interesting subordination.
Keywords/Search Tags:analytic functions, Hadamard product, integral operator, argument estimates, subordination principle
PDF Full Text Request
Related items