q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions release_364fra6xxvhjxiekcyvevgcoca

Abstract

<jats:title>Abstract</jats:title> A new subfamily of <jats:italic>p</jats:italic>–valent analytic functions with negative coefficients in terms of <jats:italic>q</jats:italic>–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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