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1704147PublishedVol 6 · Issue 9

Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions

Karuna

Subject area: Science,Engineering and Technology  ·  Area of research: Geometric Function Theory

Abstract

We introduce some classes of analytic functions, its subclasses and obtain sharp upper bounds of the functional |a_3-?a_2^2 | for the analytic function f(z)= z+ ?_(n=2)^??a_n z^n,|z|<1 belonging to these classes and subclasses.

Keywords

Univalent functions, Starlike functions, Close to convex functions and bounded functions, Closed functions, FeketeSzego inequality, Subordination method, Extremal function.

How to cite this paper

Karuna "Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions" Iconic Research And Engineering Journals Volume 6 Issue 9 2023 Page 37-41
Karuna "Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions" Iconic Research And Engineering Journals, vol. 6, no. 9, Mar. 2023
Karuna (2023). Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions. Iconic Research And Engineering Journals, 6(9).
Karuna "Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions" Iconic Research And Engineering Journals, vol. 6, no. 9, Mar. 2023.
@article{1704147,
      author = {Karuna},
      title = {Bounds of Fekete-Szeg? Inequality for a Subclasses of Regular Functions},
      journal = {Iconic Research And Engineering Journals},
      year = {2023},
      volume = {6},
      number = {9},
      pages = {37-41},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1704147.pdf},
      abstract = {We introduce some classes of analytic functions, its subclasses and obtain sharp upper bounds of the functional |a_3-?a_2^2 | for the analytic function f(z)= z+ ?_(n=2)^??a_n  z^n,|z|<1 belonging to these classes and subclasses.},
      keywords = {Univalent functions, Starlike functions, Close to convex functions and bounded functions, Closed functions, FeketeSzego inequality, Subordination method, Extremal function.},
      month = {March},
  }