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Notes on Ruscheweyh's Multiplier Conjecture

✍ Scribed by Jian-Lin Li

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 56 KB
Volume: 230
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6117

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✦ Synopsis

In this note we show that Ruscheweyh's multiplier conjecture is true in several special cases. The results obtained here are closely related to the partial sums of certain analytic functions defined by means of univalent functions. We also answer a question of Ponnusamy concerning the nth partial sums of certain univalent functions.

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