A few results on generalized Janowski type functions associated with (j, k)-symmetrical functions

The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions. Certain interesting coefficient inequalities, sufficiency criteria, distortion theorem, neighborhood property are investigate...

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Published inActa universitatis sapientiae. Mathematica Vol. 8; no. 2; pp. 195 - 205
Main Authors Al Sarari, F. S. M., Frasin, B. A., Al-Hawary, T., Latha, S.
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.12.2016
Scientia Publishing House
Subjects
(j, k)-symmetric points
30C45
analytic functions
differential subordination
α-close-to-convex
α-starlike
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Summary:The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions. Certain interesting coefficient inequalities, sufficiency criteria, distortion theorem, neighborhood property are investigated for this class.
ISSN:2066-7752
2066-7752
DOI:10.1515/ausm-2016-0012