共查询到20条相似文献,搜索用时 15 毫秒
1.
Chung-Chun Yang 《Proceedings Mathematical Sciences》1975,82(2):37-40
LetF M denote the class of univalent analytic functionsf in |z|<1 with the expansionf (z)=z+a 2 z 2+a 3 z 3+... and |f(z)|?M in |z|<1. In this note I derive a rough bound for alln-th coefficients and a more accurate bound for all the third coefficients of functionsf belonging toF M. 相似文献
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Let B n be the Euclidean unit ball in C n . In this paper, we study several properties of strongly starlike mappings of order α (0 < α < 1) and bounded convex mappings on B n . We prove that K-quasiregular strongly starlike mappings of order α on B n have continuous and univalent extensions to ${\overline{B}^n}$ . We show that bounded convex mappings on B n are strongly starlike of some order α. We give a coefficient estimate for K-quasiregular strongly starlike mappings of order α on B n . Finally, we give examples of strongly starlike mappings of order α and bounded convex mappings on B n . 相似文献
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In the class of univalent bounded normalized holomorphic functions in the unit disk, we give an asymptotic estimate for the coefficients when the uniform norm of the modulus of the function tends to infinity. 相似文献
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D. V. Prokhorov 《Mathematical Notes》1997,61(5):609-613
We solve the maximal value problem for the functional
in the class of functionsf(z)=z+a
2z2+… that are holomorphic and univalent in the unit disk and satisfy the inequality |f(z)|<M. We prove that the Pick functions are extremal for this problem for sufficiently largeM whenever the set of indicesk
1,…,km contains an even number.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 728–733, May, 1997.
Translated by S. S. Anisov 相似文献
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V. V. Goryainov 《Mathematical Notes》1975,18(5):967-971
Let SM, M > 1, be the class of functionsf(z) which are regular and univalent in the disk ¦z¦ < 1 and satisfy the conditionsf(0) = 0,f'(0) = 1, and ¦f(z)¦ < M. In the present note we will obtain an exact estimate for the argument of the derivative of a function of the class SM. 相似文献
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We discuss Cahn’s time cone method modelling phase transformation kinetics. The model equation by the time cone method is an integral equation in the space-time region. First, we reduce it to a system of hyperbolic equations, and in the case of odd spatial dimensions, the reduced system is a multiple hyperbolic equation. Next, we propose a numerical method for such a hyperbolic system. By means of alternating direction implicit methods, numerical simulations for practical forward problems are implemented with satisfactory accuracy and efficiency. In particular, in the three dimensional case, our numerical method on the basis of reduced multiple hyperbolic equation is fast. 相似文献
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Summary A family, E, consisting of normalised univalent functions with univalent derivatives is studied with regard to the zeros of
these functions.
Entrata in Redazione il 29 marzo 1978. 相似文献
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Straightening and bounded cohomology of hyperbolic groups 总被引:2,自引:0,他引:2
I. Mineyev 《Geometric And Functional Analysis》2001,11(4):807-839
It was stated by M. Gromov [Gr2] that, for any hyperbolic group G, the map from bounded cohomology Hnb(G,\Bbb R) H^n_b(G,{\Bbb R}) to Hn(G,\Bbb R) H^n(G,{\Bbb R}) induced by inclusion is surjective for n 3 2 n \ge 2 . We introduce a homological analogue of straightening simplices, which works for any hyperbolic group. This implies that the map Hnb(G,V) ? Hn(G,V) H^n_b(G,V) \to H^n(G,V) is surjective for n 3 2 n \ge 2 when V is any bounded \Bbb QG {\Bbb Q}G -module and when V is any finitely generated abelian group. 相似文献
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Ling Xiao 《Geometriae Dedicata》2013,164(1):357-383
In this paper we continue our study of finding the curvature flow of complete hypersurfaces in hyperbolic space with a prescribed asymptotic boundary at infinity. Our main results are proved by deriving a priori global gradient estimates and C 2 estimates. 相似文献
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Science China Mathematics - In this paper, we study some extremal problems for the family $$S_g^0(mathbb{B}_X)$$ of normalized univalent mappings with g-parametric representation on the unit ball... 相似文献
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M.I. Gil' 《Archiv der Mathematik》2001,76(6):458-466
Linear operators in Banach and Hilbert spaces are considered. Bounds for the spectrum are established under relatively bounded perturbations. An application to nonselfadjoint differential operators is discussed. 相似文献
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Journal d'Analyse Mathématique - 相似文献
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We give a new lower bound of the locally univalent Bloch constant.
Research supported in part by National Natural Science Foundation of China, #10231010, #10171047, and Grant-in-Aid for Scientific
Research, Japan Society for the Promotion of Science (B), #1144048. 相似文献
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