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Certain Properties of a Subclass of Multivalent Analytic Functions Using Multiplier Transformation

  • Laxmipriya Parida
  • Ashok Kumar Sahoo
  • Susanta Kumar PaikrayEmail author
Conference paper
  • 27 Downloads
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 123)

Abstract

Using the operator \(\mathcal Q_p^{m}(c,d)\), here we create a subclass of \(\mathrm A_{p}\) and studied inclusion and majorization properties of the subclass. Moreover, we have studied certain properties of the functions of the class \(\mathrm A_p\) in connection with subordination by using the above operator. Also, associated results realised by earlier researchers are particularised under the consideration of specific parameters. Furthermore, the results which are consistent with the previously settled results are also reflected here.

Keywords

p-valent analytic functions Inclusion relationships Majorisation properties Hadamard product Subordination Neighborhood 

MSC

30C45 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Laxmipriya Parida
    • 1
  • Ashok Kumar Sahoo
    • 1
  • Susanta Kumar Paikray
    • 1
    Email author
  1. 1.VSS University of TechnologySambalpurIndia

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