PASCAL DISTRIBUTION SERIES RELATED TO STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS

PASCAL DISTRIBUTION SERIES RELATED TO STARLIKE FUNCTIONS WITH RESPECT TO OTHER POINTS

C. Ramachandran, G. Murugusundaramoorthy, L. Vanitha

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Abstract

The aim of the present paper is to  nd the necessary and su cient conditions for subclasses of starlike functions with respect to symmetric points, starlike functions with respect to conjugate points, starlike functions with respect to symmetric conjugate points associated with Pascal distribution series and inclusion relations for such sub- classes in the open unit disk U. Further, we consider an integral operator related to Pascal distribution series.

Keywords

Analytic functions, Starlike functions with respect to symmetric points, Star- like functions with respect to conjugate points, Starlike functions with respect to sym- metric conjugate points, Pascal distribution series.