Improved Bound of the Fourth Hankel Determinant for a Class of Analytic Functions with Bounded Turnings Involving Cardioid Domain  

作　　者：Dong GUO Huo TANG Xi LUO Zongtao LI 

机构地区：[1]School of Mathematical Sciences,Yangzhou Polytechnic College,Jiangsu 225009,P.R.China [2]College of Mathematics and Computer Science,Chifeng University,Inner Mongolia 024000,P.R.China [3]School of Mathematics,Jiaying University,Guangdong 514015,P.R.China [4]Department of Mathematics Teaching,Guangzhou Civil Aviation College,Guangdong 510403,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2025年第1期39-55,共17页数学研究及应用(英文版)

基　　金：Supported by the Natural Science Foundation of Anhui Provincial Department of Education(Grant Nos.KJ2020A 0993;KJ2020ZD74);the High-Level Talent Research Start-Up Project(Grant No.DC2300000286);the Foundation of Guangzhou Civil Aviation College(Grant Nos.22X0418;24X4412).

摘　　要：In the paper,a class of functions with bounded turnings involving cardioid domain,are studied in the region of the unit disc.The bounds of|a_(5)|,|a_(6)|,|a_(7)|and the fourth Hankel determinant are obtained,which are more accurate than those obtained by Srivastava.

关 键 词：analytic functions starlike functions convex functions Schwarz function cardioid domain Hankel determinant 

分 类 号：O17[理学—数学]