Fourth Hankel and Toeplitz determinants for bounded turning functions subordinate to $1+tanhz$

September 2023 Fourth Hankel and Toeplitz determinants for bounded turning functions subordinate to $1+tanhz$

K. Yakaiah, R. Bharavi Sharma, K. Ganesh , K. Saroja

Adv. Studies: Euro-Tbilisi Math. J. 16(3): 1-9 (September 2023). DOI: 10.32513/asetmj/193220082321

Abstract

The aim of the present paper is to find the fourth Hankel and Toeplitz determinants for bounded turning functions subordinate to $1+tanhz$. We also consider this problem for Fekete-Szego inequality and Zalcman Conjectures for bounded turning functions subordinate to $1+tanhz$.

Citation

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K. Yakaiah. R. Bharavi Sharma. K. Ganesh . K. Saroja . "Fourth Hankel and Toeplitz determinants for bounded turning functions subordinate to $1+tanhz$." Adv. Studies: Euro-Tbilisi Math. J. 16 (3) 1 - 9, September 2023. https://doi.org/10.32513/asetmj/193220082321

Information

Received: 30 November 2021; Accepted: 13 June 2023; Published: September 2023

First available in Project Euclid: 22 September 2023

Digital Object Identifier: 10.32513/asetmj/193220082321

Subjects:

Primary: 30C45

Secondary: 30C50 , 30C80

Keywords: analytic functions , bounded turning functions , functions with positive real part , Hankel determinants , Toplitz determinants and subordination