On extremal mappings in complex ellipsoids

Armen Edigarian

Displaying similar documents to “On extremal mappings in complex ellipsoids”

Rademacher variables in connection with complex scalars.

Seigner, J.A. (1997)

Acta Mathematica Universitatis Comenianae. New Series

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The extreme points of a class of functions with positive real part.

Kortram, R.A. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Differential geometry of grassmannians and the Plücker map

Sasha Anan’in, Carlos Grossi (2012)

Open Mathematics

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Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometries. For ‘hyperbolic’ grassmannian geometries, we prove some facts (for instance, that the Plücker map is a minimal isometric embedding) that were previously known in the ‘elliptic’ case.

Periodic solutions of semilinear equations at resonance with a $2 n$ -dimensional kernel.

Ma, Shiwang, Wang, Zhicheng (1999)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Uniformly convex functions II

Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses $f^{- 1} (w) = w + d ₂ w ² + d ₃ w ³ + . . .$ . The series expansion for $f^{- 1} (w)$ converges when $| w | < ϱ_{f}$ , where $0 < ϱ_{f}$ depends on f. The sharp bounds on $| a_{n} |$ and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on $| a_{n} |$ and all extremal functions for...

An isoperimetric inequality for logarithmic capacity.

Barnard, Roger W., Pearce, Kent, Solynin, Alexander Yu. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Canonical coordinates for coadjoint orbits of completely solvable groups.

Arnal, Didier, Ben Ammar, Mabrouk, Currey, Bradley N., Dali, Béchir (2005)

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MacMahon-type identities for signed even permutations.

Bernstein, Dan (2004)

The Electronic Journal of Combinatorics [electronic only]

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On an asymptotically sharp variant of Heinz's inequality.

Partyka, Dariusz, Sakan, Ken-ichi (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

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Statistics on the multi-colored permutation groups.

Bagno, Eli, Butman, Ayelet, Garber, David (2007)

The Electronic Journal of Combinatorics [electronic only]

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A note on rapid convergence of approximate solutions for second order periodic boundary value problems

Rahmat A. Khan, Bashir Ahmad (2005)

Archivum Mathematicum

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In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order $k$ $(k \geq 2)$ .