Fourth Hankel and Toeplitz Determinants for Reciprocal of Bounded Turning Functions and Inverse of Reciprocal of Bounded Turning Functions Subordinate to cos \(z\)

Authors

DOI:

https://doi.org/10.26713/cma.v14i2.2200

Keywords:

Reciprocal of bounded turning function, Inverse of reciprocal of bounded turning function, Hankel determinant, Toeplitz determinant

Abstract

The purpose of the present research article is to find an upper bounds of fourth Hankel and Toeplitz determinants for reciprocal of bounded turning functions subordinate to cos \(z\) and for the inverse of reciprocal of bounded turning functions subordinate to cos \(z\). The Zalcman conjecture is verified for specific values of \(n\) for the functions in these classes. The sharp upper bounds for Fekete-Szegö inequalities were obtained.

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Author Biographies

R. Bharavi Sharma, Department of Mathematics, Kakatiya University, Warangal, Telangana, India

 

 

V. Suman Kumar, Department of Mathematics, T.S.M.S. Chigurumamidi, Karimnagar, Telangana, 505481, India

 

 

S. Sambasivarao, Department of Humanities and Sciences, S.V.S. Group of Institutions, Warangal, Telangana, India

 

 

 

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Published

18-09-2023
CITATION

How to Cite

Yakaiah, K., Sharma, R. B., Kumar, V. S., & Sambasivarao, S. (2023). Fourth Hankel and Toeplitz Determinants for Reciprocal of Bounded Turning Functions and Inverse of Reciprocal of Bounded Turning Functions Subordinate to cos \(z\). Communications in Mathematics and Applications, 14(2), 969–980. https://doi.org/10.26713/cma.v14i2.2200

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Research Article