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Title Investigation of coefficient inequalities for certain New subclasses of analytic functions

Author(s) Zameer Abbas

Abstract The aim of this research is to define and discuss some new subclasses of starlike and convex functions in an open unit disk. The q-theory and q differential operators will be used to present the q-version of already existing results on starlike and convex functions. The classes of analytic functions with respect to the symmetric point will be explained with the help of q-derivative certain new classes of q-starlike and q-convex functions with respect to symmetric points subordinated with exponential functions will be introduced, and these classes will further be modified by using exponential function with subordination technique. Coefficient inequalities for the functions belonging to the new classes will be investigated. We will determine the possible upper bound of the 3rd Hankel determinant for the q-starlike and q-convex functions. The relevant connections of our new classes and results to known ones will be also pointed out.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

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Subject Mathematics

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