ON A SUBCLASS OF UNIFORMLY QUASI CONVEX FUNCTIONS OF ORDER $\alpha$

Authors : D. Vamshee Krishna, B. Venkateswarlu, T. Ramreddy

Pages : 33-41

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Publication Date : 2015-10-01

Article Type : Research

Abstract :In this paper, we introduce two new classes of analytic functions namely uniformly quasi convex functions of order and quasi uniformly con- vex functions of order denoted by UQCV ($\alpha$ ) and QUCV ( $\alpha$  ) ($0\qeq  $\alpha$  < 1$) respectively and study certain properties of functions belonging to these two classes. Further, we obtain a necessary and sucient condition for the function f(z) to be in the class UQCV ( $\alpha$  ): These results are generalized recent results of Rajalakshmi Rajagopal and Selvaraj [7]:
Keywords : Analytic function, uniformly quasi convex function, quasi uniformly convex function, positive real function