Schwarzian derivative and Janowski convexity

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 2017Publisher:Babes-Bolyai University Cluj-NapocaJournal:Studia Universitatis Babes-Bolyai Matematica, volume 62, pages 197-204 (issn: 0252-1938, eissn: 2065-961X,

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Authors: Nisha Bohra; V. Ravichandran;

doi: 10.24193/subbmath.2017.2.06

Schwarzian derivative and Janowski convexity

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Abstract

Suﬃcient conditions relating the Schwarzian derivative to the Janowski convexity of a normalized analytic function f are obtained. As a consequence, suﬃcient conditions are determined for the function f to be Janowski convex and convex of order α. Also, some equivalent sharp inequalities are proved for f to be Janowski convex.

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