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101.
Sanford S. Miller Petru T. Mocanu 《Journal of Mathematical Analysis and Applications》2007,329(1):327-335
Briot-Bouquet differential subordinations play a prominent role in the theory of differential subordinations. In this article we consider the dual problem of Briot-Bouquet differential superordinations. Let β and γ be complex numbers, and let Ω be any set in the complex plane C. The function p analytic in the unit disk U is said to be a solution of the Briot-Bouquet differential superordination if
102.
Let A denote the class of functions f(z) with
f(0)=f′(0)−1=0, 相似文献
103.
For normalized analytic functions f in the unit disk Δ, we consider the class
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105.
《复变函数与椭圆型方程》2012,57(7):607-614
Let Φ be a bounded positive continuous function in the complex plane C. We will consider the following problem. We can find a simply connected region Ω containing the origin such that the Riemann mapping function f Ω mapping the unit disk D onto Ω will satisfy <artwork name="GCOV31013eu1"> We show that there is a unique solution which is starlike with respect to the origin when Φ satisfies <artwork name="GCOV31013eu2"> We also show that if in addtion, ?Φ/?|w|>0 and ?log Φ is subharmonic, then Ω will be a convex region. 相似文献
106.
Cauchy-Stieltjes积分和面积平均p叶函数 总被引:1,自引:0,他引:1
本文研究由Cauchy-Stieltjes积分形成的函数空间Fα.首先给出这个空间的一个等价定义,然后研究面积平均p叶函数的对数函数和这个函数空间的关系,最后对单叶函数的情形做进一步的讨论.根据这种研究,我们得到了有界单叶函数的系数增长估计,这是目前最好的结果. 相似文献