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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/04/0563-0570

    • Keywords

       

      Star-like function; integral mean; univalent function

    • Abstract

       

      We study univalent holomorphic functions in the unit diskU = {z: ¦z¦ < 1} of the formf(z)=z+∑n=2anzn that satisfy the condition Re zf’(z)/f(z) > α with α [0, 1) inU. Some integral means of such funcions are estimated.

    • Author Affiliations

       

      Larisa Gromova1 Alexander Vasil’ev2

      1. Department of Mathematics and Mechanics, Saratov State University, Saratov - 410026, Russia
      2. Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla, Valparaíso - 110-V, Chile
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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