NDLI: Interspersion in Suffridge’s Polynomial Theory

Content Provider	Springer Nature Link
Author	Lamprecht, Martin
Copyright Year	2011
Abstract	We give an extension and a much simplified proof of Suffridge’s celebrated convolution theorem for polynomials with restricted zeros on the unit circle. Our main theorem states that zero interspersion is invariant under convolution with polynomials in Suffridge classes. We also show how this theorem implies an old result of Lewis and Ruscheweyh concerning the convolution of close-to-convex functions.
Starting Page	325
Ending Page	351
Page Count	27
File Format	PDF
ISSN	16179447
Journal	Computational Methods and Function Theory
Volume Number	11
Issue Number	1
e-ISSN	21953724
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-06-09
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Special classes of univalent and multivalent functions Computational Mathematics and Numerical Analysis polynomial convolution Functions of a Complex Variable Suffridge polynomials starlike functions Analysis Polynomials Zeros of polynomials, rational functions, and other analytic functions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Theory and Mathematics Analysis

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Interspersion in Suffridge’s Polynomial Theory