Subclass of k-Uniformly Starlike Functions Defined by the Symmetric q-Derivative Operator

The theory of q -analogs is frequently encountered in numerous areas, including fractals and dynamical systems. The q -derivatives and q -integrals play an important role in the study of q -deformed quantummechanical simple harmonic oscillators. We define a symmetric operator of q -derivative and st...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2019-04, Vol.70 (11), p.1727-1740
Main Authors: Kanas, S., Altinkaya, Ş., Yalçin, S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Deformation
Geometry
Harmonic oscillators
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Statistics
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Summary:The theory of q -analogs is frequently encountered in numerous areas, including fractals and dynamical systems. The q -derivatives and q -integrals play an important role in the study of q -deformed quantummechanical simple harmonic oscillators. We define a symmetric operator of q -derivative and study a new family of univalent functions defined by using this operator. We establish some new relations between the functions satisfying the analytic conditions related to conic sections.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01602-1