The third Hankel determinant for inverse coefficients of starlike functions of order 1/2

2023/07/06 by Ahamed, Molla Basir, Roy, Partha Pratim
#30C35 #30H05 #Complex Variables (math.CV) #FOS: Mathematics #Primary 30A10 #Secondary 30C45

paper · doi:10.48550/arxiv.2307.02746

Abstract

The sharp bound for the third Hankel determinant for the coefficients of the inverse function of starlike function of order 1/2 is obtained. In light of this, we can deduce that the functionals |H₃(1)(f)| and |H₃(1)(f^-1)| exhibit invariance on the class S^*(1/2).

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