Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

ON A JANOWSKI FORMULA BASED ON A GENERALIZED DIFFERENTIAL OPERATOR

ON A JANOWSKI FORMULA BASED ON A GENERALIZED DIFFERENTIAL OPERATOR

Rabha W. IBRAHIM

Sayfa
1320–1328
DOI
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Abstract

The central purpose of the current paper is to consider a set of ben- eficial possessions including inequalities for a generalized subclass of Janowski functions (analytic functions) which are formulated here by revenues of a gen- eralized Sàlàgean’s differential operator. Numerous recognized consequences of the outcomes are also indicated. We present some results involving the sub- ordination and superordination inequalities. Moreover, growth inequalities are indicated in the sequel. Real and special cases are suggested containing the differential operator.