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

Year 2015, Volume: 3 Issue: 2, 33 - 41, 01.10.2015

D. Vamshee Krıshna B. Venkateswarlu T. Ramreddy

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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