Applications of certain operators to the classes related with generalized Janowski functions

被引:12
|
作者
Noor, Khalida Inayat [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
关键词
analytic functions; Hurwitz-Lerch Zeta functions; Srivastava-Attiya operator; bounded boundary rotation; inclusion relation; generalized Janowski functions; Schwartz functions; STRONGLY STARLIKE FUNCTIONS; LERCH ZETA-FUNCTION; INTEGRAL-OPERATORS; INCLUSION PROPERTIES; INEQUALITIES; HARDY;
D O I
10.1080/10652460903424261
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, Srivastava and Attiya [H.M. Srivastava and A. A. Attiya, An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination, Integral Transforms Spec. Funct. 18 (2007), pp. 207-216] introduced a linear integral operator on the class of analytic function associated with Hurwitz-Lerch Zeta function. Using this Srivastava-Attiya operator and generalized Janowski functions, certain classes of analytic functions related with the functions of bounded boundary and bounded radius rotation are introduced and studied. Inclusion results, rate of growth of coefficients, radius problem and behaviour of these classes under certain integral operators are investigated.
引用
收藏
页码:557 / 567
页数:11
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