共查询到20条相似文献,搜索用时 31 毫秒
1.
И. И. Баврин 《Analysis Mathematica》1979,5(4):257-267
LetD denote a bounded complete bicircular domain (centered at (0, 0)) in the space C of two complex variablesz 1 andz 1. Extremal problems are treated in the classP D which is a generalization, to the two complex variables case, of the class of close-to-starlike functions regular in a disc. Our considerations include estimates of the basic functionals, in particular, those specific for the functions of several complex variables; exactness of estimates is considered, as well. For example, we obtain estimates of the functionals $$A_k (D) = \mathop {\sup }\limits_{(z_1 ,z_2 ) \in D} \mathop \sum \limits_{l = 0}^k |a_{k - l,l} |^2 |z_1 |^{2(k - l)} |z_2 |^{2l} ,B_k (D) = \mathop {\sup }\limits_{(z_1 ,z_2 ) \in D} \left| {\mathop \sum \limits_{l = 0}^k a_{k - l,l} z_1^{k - l} z_2^l } \right|,k = 1,2 \ldots .$$ It is also proved that the Carathéodory class is a subclass of the classP D. 相似文献
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Tarek M. A. El-Mistikawy 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,24(1):1159-1164
In their article (Fundamental flows with nonlinear slip conditions: exact solutions, R. Ellahi, T. Hayat, F. M. Mahomed and
A. Zeeshan, Z. Angew. Math. Phys. 61 (2010) 877–888.), the authors considered three simple cases of the steady flow of a third grade fluid between parallel plates with
slip conditions; namely, Couette flow, Poiseuille flow, and generalized Couette flow. They obtained exact solutions, which
were utilized in a way that did not lead to useful results. Their conclusion that the Couette flow cannot be obtained from
the generalized Couette flow, by dropping the pressure gradient, is incorrect. Meaningful results based on their solution
are herein presented. 相似文献
20.
Tarek M. A. El-Mistikawy 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,62(6):1159-1164
In their article (Fundamental flows with nonlinear slip conditions: exact solutions, R. Ellahi, T. Hayat, F. M. Mahomed and A. Zeeshan, Z. Angew. Math. Phys. 61 (2010) 877–888.), the authors considered three simple cases of the steady flow of a third grade fluid between parallel plates with slip conditions; namely, Couette flow, Poiseuille flow, and generalized Couette flow. They obtained exact solutions, which were utilized in a way that did not lead to useful results. Their conclusion that the Couette flow cannot be obtained from the generalized Couette flow, by dropping the pressure gradient, is incorrect. Meaningful results based on their solution are herein presented. 相似文献