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	GEOMETRY OF A CLASS OF GENERALIZED CUBIC POLYNOMIALS
	Frayer, Christopher
通讯作者	Frayer, C
来源期刊	INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
ISSN	2291-8639
出版年	2015
卷号	8 期号:2 页码:93-99
英文摘要	This paper studies a class of generalized complex cubic polynomials of the form p(z) = (z-1)(z-r(1))(k)(z-r(2))(k) where r(1) and r(2) lie on the unit circle and k is a natural number. We completely characterize where the nontrivial critical points of p can lie, and to what extent they determine the polynomial. The main results include (1) a nontrivial critical point of such a polynomial almost always determines the polynomial uniquely, and (2) there is a 'desert' in the unit disk in which critical points cannot occur.
英文关键词	geometry generalized cubic polynomials
类型	Article
语种	英语
开放获取类型	DOAJ Gold
收录类别	ESCI
WOS记录号	WOS:000366199300003
WOS类目	Mathematics
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/331178
作者单位	[Frayer, Christopher] Univ Wisconsin Platteville, Platteville, WI 53818 USA
推荐引用方式 GB/T 7714	Frayer, Christopher. GEOMETRY OF A CLASS OF GENERALIZED CUBIC POLYNOMIALS[J],2015,8(2):93-99.
APA	Frayer, Christopher.(2015).GEOMETRY OF A CLASS OF GENERALIZED CUBIC POLYNOMIALS.INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS,8(2),93-99.
MLA	Frayer, Christopher."GEOMETRY OF A CLASS OF GENERALIZED CUBIC POLYNOMIALS".INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS 8.2(2015):93-99.

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