q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Shahram Najafzadeh 1  and Mugur Acu 2
  • 1 Payame Noor University, Tehran
  • 2 Lucian Blaga University of Sibiu, 550012, Sibiu

Abstract

A new subfamily of p–valent analytic functions with negative coefficients in terms of q–analogue of generalized Ruschweyh operator is considered. Several properties concerning coefficient bounds, weighted and arithmetic mean, radii of starlikeness, convexity and close-to-convexity are obtained. A family of class preserving integral operators and integral representation are also indicated.

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