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arXiv · 1708.08230

Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator

S. Kanas·S. Altinkaya·S. Yalcin
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Abstract

The theory of $q$-analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The $q$-derivatives and $q$-integrals play a prominent role in the study of $q$-deformed quantum mechanical simple harmonic oscillator. In this paper, we define a symmetric $q$-derivative operator and study new family of univalent functions defined by use of that operator. We establish some new relations between functions satisfying analytic conditions related to conical sections.

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S. Kanas, S. Altinkaya, S. Yalcin. 2017-08-28. Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator. https://arxiv.org/abs/1708.08230

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