Convex functions and the rolling circle criterion

International Journal of Mathematics and Mathematical Sciences

卷:18

G. P. Kapoor¹  O. P. Juneja¹  V.Srinivas¹ 

[1] Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India;

关键词: univalent functions;    convex functions;    curvature;    subordination;    distortion theorems;    growth theorems.;   

DOI  :  10.1155/S0161171295001025

来源: DOAJ

【 摘 要 】

Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class ofnormalized convex functions f in the unit disc U, for which ∂f(U)satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2.Necessary and sufficient conditions for R1=R2, growth anddistortion theorems for CVG(R1,R2) and rotation theorem for theclass of convex functions of bounded type, are found.

【 授权许可】

Unknown