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

  • S. Kanas
  • Ş. Altinkaya
  • S. Yalçin

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.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • S. Kanas
    • 1
  • Ş. Altinkaya
    • 2
  • S. Yalçin
    • 2
  1. 1.University of RzeszowRzeszowPoland
  2. 2.Uludag UniversityBursaTurkey

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