2017/08/28 by S. Kanas, S. Altinkaya, Şahsene Altınkaya +5
Mathematics · #30C45 #33C45 #Advanced Mathematical Identities #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C45 #msc:33C45
paper · pdf · doi:10.48550/arxiv.1708.08230
arxiv created 2017/08/28 · openalex publication_date 2017/08/28 · arxiv updated 2017/08/29 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28
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.