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1)  associated function
连带函数
2)  associated Legendre function
连带勒让德函数
1.
Based on the fundamental formula and property of the theory of associated Legendre function,in the paper,the orthogonal properties of different levels and orders of associated Legendre functions p~k_n(x) and p~l_m(x) on the with weight ω(t)=(1-x~2)~(()~(k-l2)) are proved in detail.
根据连带勒让德函数的递推公式和基本性质,本文详细推导了不同阶次连带勒让德函数pkn(x)与plm(x)在闭区间[-1,1]上关于权函数ω(x)=(1-x2)k2-l的正交性。
3)  associated Laguerre function
连带拉盖尔函数
4)  associated integral function
连带积分函数
5)  Associated Legendre functions of positive integer order
整阶连带勒让德函数
6)  continuous functions
连续函数
1.
This paper considers some properties of continuous functions.
该文讨论了周期连续函数的若干性质,刻画了一些函数集合之间的包含关系。
2.
This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.
将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛。
3.
In this paper,Stancu-integral type operators are first constructed on simplexes,then discusseions on approximation to continuous functions are made.
本文首先构造了单纯形上积分型 Stancu算子 ,其次讨论了它对连续函数的逼近 。
补充资料:勒让德函数
勒让德函数
Legendre function

   形为(1-x2y″-2xy′+nn+1)y=0的方程。
   它有级数解:!!!L0341_1
    当n为正偶数时,y1(x)退化成多项式,当n为正奇数时,y2(x)退化成多项式,二者可写成统一的式子:!!!L0341_2
   罗德里克公式:
!!!L0341_3
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参考词条