✦ LIBER ✦

A Generalization of Walsh's Two-Circle Theorem to Vector Spaces

✍ Scribed by I. Bajunid; F.B.H. Jamjoom; N. Zaheer

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 220 KB
Volume: 210
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5390

No coin nor oath required. For personal study only.

✦ Synopsis

In this article we investigate the location of the null sets of generalized Ž . pseudo-derivatives of the product or quotient of abstract polynomials. Some special cases of this general problem were studied by Walsh as geometry of polynomials in the complex plane. One of our two results deduces an improved version of the first part of the two-circle theorem due to Walsh on the quotient of two polynomials and the other furnishes an improved version of the two-circle theorem on the product of two polynomials.

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