期刊论文

Li, Liulan

英文

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

0002-9939

2017

145

2

833-846

10.1090/proc/13260

CSC of China [201308430274]; NSF of ChinaNational Natural Science Foundation of China (NSFC) [11201130, 11571216]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [14JJ1012]; construct program of the key discipline in Hunan province; Department of Science & Technology, IndiaDepartment of Science & Technology (India) [RUS/RFBR/P-163]

本校为第一且通讯机构

Let S denote the class of all functions f(z) = z + Sigma(infinity)(n=2) a(n)az(n) 2 anzn analytic and univalent in the unit disk D. For f. S, Zalcman conjectured that vertical bar a(n)(2) - a(2n-1)vertical bar = 3. This conjecture has been verified for only certain values of n for f is an element of S and for all n >= 4 for the class C of close-to-convex functions (and also for a couple of other classes). In this paper we provide bounds of the generalized Zalcman coefficient functional vertical bar lambda a(n)(2) n-a2(n-1)vertical bar for functions in C ...