On polynomial mappings from the plane to the plane
نویسندگان
چکیده
منابع مشابه
On 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.
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We study some properties of generator sequences of planar semigroups and give a method of construction of plane curves with one place at infinity with given generator sequences. We also discuss similar questions for polynomial curves. ∗We express our deep gratitude and appreciation for to Professor Shreeram S. Abhyankar for being a constant source of our mathematical inspiration.
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A catalog record for this book is available from the British Library. Harmonic mappings in the plane / Peter Duren. Includes bibliographical references and index.
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2014
ISSN: 0025-5645
DOI: 10.2969/jmsj/06630805