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Certain Applications of the Theory of Polar-Composite Polynomials

Neyamat Zaheer and Mahfooz Alam
Proceedings of the American Mathematical Society
Vol. 85, No. 3 (Jul., 1982), pp. 383-388
DOI: 10.2307/2043852
Stable URL: http://www.jstor.org/stable/2043852
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Certain Applications of the Theory of Polar-Composite Polynomials
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Abstract

In a recent paper [5] the authors have, for the first time, given a detailed account of the theory of polar-composite polynomials in algebraically closed fields of characteristic zero. In another paper [6], we have given some applications of this theory and have obtained a few results for a new variety of composite polynomials which have been derived from certain polar-composite polynomials through iteration. In the present paper also we consider the same variety of composite polynomials, but our present study deals with a different aspect of application of the said theory. Besides other things, our main theorem here offers a generalization of a result due to Marden [2] (see also [1, Theorem (16, 3)]).

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