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

作者：Noor Khalida Inayat^*

来源：Integral Transforms and Special Functions, 2010, 21(8): 557-567.

DOI：10.1080/10652460903424261

• analytic functions
• Hurwitz-Lerch Zeta functions
• Srivastava-Attiya operator
• bounded boundary rotation
• inclusion relation
• generalized Janowski functions
• Schwartz functions

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.

• 出版日期2010