منابع مشابه
Harmonic Mappings in the Plane
A catalog record for this book is available from the British Library. Harmonic mappings in the plane / Peter Duren. Includes bibliographical references and index.
متن کاملOn the Linear Combinations of Slanted Half-Plane Harmonic Mappings
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
متن کاملMappings of the Sierpinski Curve onto Itself
Given two points p and q of the Sierpinski universal plane curve S, necessary and/ or sufficient conditions are discussed in the paper under which there is a mapping I of S onto itself such that I(P) = q and I belongs to one of the following: homeomorphisms, local homeomorphisms, local homeomorphisms in the large sense, open, simple or monotone mappings.
متن کاملKinematic mappings of plane affinities
In 1911 W. Blaschke and J. Grnwald described the group ~ of proper motions of the euclidean plane d' in the following way: Let (P, fg)be the real three-dimensional projective space, let ~ C P be an isomorphic image of g, and let U ~ f# such that ~ tA U is the projective closure of in P. Then there is a bijection x : ~ ~ P ' := P \ U called the kinematic mapping and an injective mapping ~ × ~ ~ ...
متن کاملIntegrable Non-qrt Mappings of the Plane
We construct 9-parameter and 13-parameter dynamical systems of the plane which map bi-quadratic curves to other bi-quadratic curves and return to the original curve after two iterations. These generalize the QRT maps which map each such curve to itself. The new families of maps include those that were found as reductions of integrable lattices by [11].
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0283771-3