Department of Mathematics, University Arts & Science College, Warangal, 506009, Telangana, India
*Email: rbsharma@kakatiya.ac.in; rbsharma005@gmail.com
Mathematics Subject Classification 2010: Primary 30C45, 30C50; Secondary 30C80
We introduce a new subclass of analytic functions using Komatu integral operator and obtain the sharp upper bounds for the coefficient functional |b2k+1-μb2k+1 | corresponding to the kth root transformation for the function f in this class. We also study certain applications of our results for the functions defined through convolution and fractional derivatives. We obtain the Fekete-Szego inequality for the inverse function and for the function . The results of this paper generalize and unify the work of earlier researchers in this direction.
Analytic functions, Fractional derivatives, kth root transformation, Komatu integral operator, Subordination