New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator

The core object of this paper is to define and study a new class of analytic functions using the Ruscheweyh q -differential operator. We also investigate a number of useful properties of this class such structural formula and coefficient estimates for functions. We consider also the Fekete–Szegö pro...

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Bibliographic Details
Published inResultate der Mathematik Vol. 71; no. 3-4; pp. 1345 - 1357
Main Authors Mahmood, Shahid, Sokół, Janusz
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2017
Subjects
Mathematics
Mathematics and Statistics
functions with positive real part
30C45
Analytic functions
conic domain
30C50
Ruscheweyh
differential operator
subordination
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Summary:The core object of this paper is to define and study a new class of analytic functions using the Ruscheweyh q -differential operator. We also investigate a number of useful properties of this class such structural formula and coefficient estimates for functions. We consider also the Fekete–Szegö problem in the class, we give some subordination results, and some other corollaries.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-016-0592-1