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Sharp coefficient bounds for starlike functions associated with the Bell numbers
Kumar, Virendra,Cho, Nak Eun,Ravichandran, V.,Srivastava, H. M. De Gruyter 2019 Mathematica Slovaca Vol.69 No.5
<P><B>Abstract</B></P><P>Let[FORMULA OMISSION]be the class of normalized starlike functions associated with a function related to the Bell numbers. By establishing bounds on some coefficient functionals for the family of functions with positive real part, we derive for functions in the class[FORMULA OMISSION]several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants. Bounds on the first three consecutive higher-order Schwarzian derivatives for functions in the class[FORMULA OMISSION]are investigated.</P>
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Kyungsuk Cho,Suchan Bong,Seonghwan Choi,Heesu Yang,Jihun Kim,Jihye Baek,Jongyeob Park,Eun-Kyung Lim,Rok-Soon Kim,Sujin Kim,Yeon-Han, Kim,Young-Deuk Park,S.W. Clarke,J.M. Davila,N. Gopalswamy,V. M. Nak 한국천문학회 2017 天文學會報 Vol.42 No.2