On certain p-valent close-to-convex functions of order \(\beta \) and type \(\alpha \)

  • Jin-Lin LiuEmail author
Original Paper


A new class \(K_p(\alpha ,\beta )\) consisting of the functions which are p-valent close-to-convex of order \(\beta \) and type \(\alpha \) is introduced. The object of the present paper is to derive some sufficient conditions for functions to be in the class \(K_p(\alpha ,\beta )\).


Close-to-convex function p-Valent function Subordination 

Mathematics Subject Classification

Primary 30C45 30C80 



This work is supported by National Natural Science Foundation of China (Grant No. 11571299) and Natural Science Foundation of Jiangsu Province (Grant No. BK20151304).


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Copyright information

© Springer-Verlag Italia S.r.l. 2017

Authors and Affiliations

  1. 1.Department of MathematicsYangzhou UniversityYangzhouChina

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