Kth Root transformations for a subclass of analytic functions by komatu integral operator
2015
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.
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