Applications of Certain Operators to the Classes of Analytic Functions Related to the Generalized Janowski Functions

  • Khalida Inayat Noor COMSATS University, Islamabad, Pakistan
  • Shujaat Ali Shah COMSATS University, Islamabad, Pakistan and Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
Keywords: analytic functions, generalized Janowski functions, conic domains, Ruscheweyh differential operator, Noor integral operator, inclusion results, radius problems


We introduce certain subclasses of analytic functions related to the class of analytic, convex univalent functions. We discuss some results including inclusion relationships and invariance of the classes under convex convolution in terms of certain linear operators. Applications of these results associated with the generalized Janowski functions and conic domains are considered. Also, several radius problems are investigated.