Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator
Complex Variables
2017-08-29 v1
Abstract
The theory of -analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The -derivatives and -integrals play a prominent role in the study of -deformed quantum mechanical simple harmonic oscillator. In this paper, we define a symmetric -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.
Keywords
Cite
@article{arxiv.1708.08230,
title = {Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator},
author = {S. Kanas and S. Altinkaya and S. Yalcin},
journal= {arXiv preprint arXiv:1708.08230},
year = {2017}
}