Upper bound Estimates of Fourth Order Hankel and Toeplitz Determinants for Certain Analytic Functions Connected with Three Leaf Function

Authors

  • Rudrani Rangu Department of Mathematics, Government Degree College (Autonomous), Narsampet, Warangal 506132, Telangana, India https://orcid.org/0009-0002-9458-4926
  • Bharavi Sharma Rayaprolu Department of Mathematics, Kakatiya University, Warangal 506009, Telangana, India https://orcid.org/0000-0003-2814-9774
  • Sambasiva Rao Siginam Department of Humanities and Sciences, SVS Group of Institutions, Warangal 506015, Telangana, India https://orcid.org/0000-0003-0792-679X

DOI:

https://doi.org/10.26713/cma.v16i1.2920

Keywords:

Univalent functions, Starlike functions, Coefficient inequalities, Hankel determinants, Topelitz determinants, Three Leaf domain

Abstract

 The purpose of this paper is to compute upper bounds of Hankel and Toeplitz determinants up to fourth order for some normalized univalent functions defined on the open unit disk in the complex plane associated with three leaf function. Suitable examples are provided in support of proven results.

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References

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Published

01-07-2025
CITATION

How to Cite

Rangu, R., Rayaprolu, B. S., & Siginam, S. R. (2025). Upper bound Estimates of Fourth Order Hankel and Toeplitz Determinants for Certain Analytic Functions Connected with Three Leaf Function. Communications in Mathematics and Applications, 16(1), 219–232. https://doi.org/10.26713/cma.v16i1.2920

Issue

Vol. 16 No. 1 (2025)

Section

Research Article

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