• Title of article

    New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk

  • Author/Authors

    Yasamian, Mohammad Reza Department of Mathematics - Payame Noor University, Tehran, Iran , Ebadian, Ali Department of Mathematics - Payame Noor University, Tehran, Iran , Foroutan, Mohammad Reza Department of Mathematics - Payame Noor University, Tehran, Iran

  • Pages
    17
  • From page
    207
  • To page
    223
  • Abstract
    In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D. For functions belonging to these classes SD, SD* and KD, we derive several properties including (for example) the coefficient bounds and growth theorems. The various results presented here would generalize many well known results. We also get a new univalent criterion and some interesting properties for univalent function,starlike function,convex function and close-to-convex function. Many superclasses which are already studied by various researchers are obtained as special cases of our two new superclasses.
  • Keywords
    Univalent functions , Starlike functions , Convex functions , Close-to-convex function
  • Journal title
    Mathematics Interdisciplinary Research
  • Serial Year
    2020
  • Record number

    2605222