韩山师范学院学报
韓山師範學院學報
한산사범학원학보
JOURNAL OF HANSHAN TEACHERS COLLEGE
2014年
3期
15-17
,共3页
陈珊丽%方金财%吴康
陳珊麗%方金財%吳康
진산려%방금재%오강
第一类切比雪夫多项式%第一类切比雪夫型基本方程%重根规律
第一類切比雪伕多項式%第一類切比雪伕型基本方程%重根規律
제일류절비설부다항식%제일류절비설부형기본방정%중근규률
the first kind Tschebyscheff polynomials%the first kind Tschebyscheff basic equation%multiple root law
探讨了第一类切比雪夫型基本方程Tn(x)=Tm(x)的重根现象，得到Tn(x)=Tm(x)有重根的充要条件、其全体复根均为单根的充要条件和计算重根个数的公式这三个定理以及一些有用的推论。
探討瞭第一類切比雪伕型基本方程Tn(x)=Tm(x)的重根現象，得到Tn(x)=Tm(x)有重根的充要條件、其全體複根均為單根的充要條件和計算重根箇數的公式這三箇定理以及一些有用的推論。
탐토료제일류절비설부형기본방정Tn(x)=Tm(x)적중근현상，득도Tn(x)=Tm(x)유중근적충요조건、기전체복근균위단근적충요조건화계산중근개수적공식저삼개정리이급일사유용적추론。
This paper studies the multiple root phenomenon of the first kind Tschebyscheff basic equa-tion Tn(x)=Tm(x) and gets three theorems :the necessary and sufficient condition of having multiple root of Tn(x)=Tm(x) ,the necessary and sufficient condition of only having single root of Tn(x)=Tm(x) as well as the expression on counting the number of its multiple root. Besides, it also gets some other useful conclusions.
