Some properties of a class of analytic functions

  • Neng Xu Changshu Institute of Technology Department of Mathematics
  • R. K. Raina M. P. University of Agriculture and Technology Department of Mathematics
Keywords: Analytic functions, Starlike functions, Convex functions, Hadamard product (or Convolution), Subordination

Abstract

Making use of convolution, we introduce and investigate a certain class of functions which is analytic in the open unit disk. We obtain interesting properties of starlikeness and convexity for this function class. Special cases and some useful consequences of our main results are also mentioned.

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Author Biographies

Neng Xu, Changshu Institute of Technology Department of Mathematics

Professor

Department of Mathematics

R. K. Raina, M. P. University of Agriculture and Technology Department of Mathematics
Professor (Retd.) and Emeritus Fellow
Published
2018-01-09
Section
Articles