## STARLIKE SYMMETRICAL FUNCTIONS

## STARLIKE SYMMETRICAL FUNCTIONS

*F. Al Sarari*

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## Abstract

The objective of the present paper is to study subclass S(j,k)(A,B) of ana- lytic functions that is defined by using the class of Janowski functions combined with the (j,k)-symmetrical functions. This class generalizes various classes defined by different authors. Distortion theorem, argument theorem, covering theorem,and convolution con- dition are obtained. Finally we give analogous definition of neighborhood for the class S(j,k)(A,B) and then investigate related neighborhood result for this new class.

## Keywords

Janowski functions, Subordination, Starlike functions, Neighborhood, k-fold symmetric function, (j, k)-symmetrical function.