科研之友
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摘要
In this note, we investigate the Fekete-Szego problem for a class SL of functions f analytic in the open unit disc Delta = {z : vertical bar z vertical bar < 1} (and which is related to a shell-like curve associated with Fibonacci numbers) satisfying the conditions that f(0) = 0, f'(0) = 1 and zf'(z)/f(z) < 1 + tau(2)z(2)/1 - tau z - tau(2)z(2) (z is an element of Delta), where < denotes the subordination and the number tau = (1 - root 5)/2 is such that vertical bar tau vertical bar fulfils the golden section of the segment [0, 1].
- 出版日期2016-2
