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

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

References

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