Toeplitz determinants for the inverse of starlike functions connected with the sin function
Received:February 13, 2020  Revised:July 19, 2020
Key Word: the inverse of starlike function   Toeplitz determinant   sin function   upper bound  
Fund ProjectL:The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)(11561001;11271045)
Author NameAffiliationE-mail
Dong GUO Chuzhou Vocational And Technical College 
Zongtao LI Guangzhou Civil Aviation College 
Huo TANG Chifeng University  
En AO Chifeng University  
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      Let S?s be the class of normalized functions f defined in the open unit U = {z ∈ C : |z| < 1} such that the quantity zf0(z) f(z) lies in an eight-shaped region in the right-half plane and satisfying the condition zf0(z) f(z) ? 1 + sinz(z ∈ U). In this paper, we aim to investigate Toeplitz determinants for the inverse of this function classes S?s associated with sin function.
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