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On new classes of strongly Janowski type functions of complex order

On new classes of strongly Janowski type functions of complex order We investigate some new subclasses of analytic functions of Janowski type of complex order. We also study inclusion properties, distortion theorems, coefficient bounds and radius of convexity of the functions. Moreover, analytic properties of these classes under certain integral operator are also discussed. Our findings are more comprehensive than the existing results in the literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

On new classes of strongly Janowski type functions of complex order

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3990-7
Publisher site
See Article on Publisher Site

Abstract

We investigate some new subclasses of analytic functions of Janowski type of complex order. We also study inclusion properties, distortion theorems, coefficient bounds and radius of convexity of the functions. Moreover, analytic properties of these classes under certain integral operator are also discussed. Our findings are more comprehensive than the existing results in the literature.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Mar 1, 2023

Keywords: subordination; Janowski function; starlike function; convex function; complex order; 30C45; 30C50

References

  • On a subclass of strongly starlike functions
    Aouf, M K; Jacek, D; Sokół, J
  • On some classes of bounded univalent functions
    Brannan, D A; Kirwan, W E
  • Some extremal problems for certain families of analytic functions-I
    Janowski, W
  • Starlike functions of complex order
    Nasr, M A; Aouf, M K
  • On some univalent integral operators
    Noor, K I
  • The radius of starlikeness for convex functions of complex order
    Polatoglu, Y; Bolcal, M; Sen, A
  • On the coefficients of subordinate functions
    Rogosinski, W
  • On the coefficients of some family of holomorphic functions
    Wiatrowski, P