Some properties of a class of analytic functions

Authors

  • Neng Xu Changshu Institute of Technology Department of Mathematics
  • R. K. Raina M. P. University of Agriculture and Technology Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i4.34901

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.

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

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Published

2018-01-09

Issue

Vol. 37 No. 4 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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