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This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P,then the series ∑∞k=0Y kf converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性,其中指出:设f是Hrp上 2 ( [n4 ]+1)次连续可微函数,则级数∑∞k =0 Ykf一致收敛到f参

Let Un the Chebyshev polynomials of the second kind and the associated functions In this paper we discuss the approximations of the partial sums for the biorthogonal series based on and the corresponding conjugate series.

记Un是第二类Chebyshev多项式,伴随函数,这里讨论基于的双正交级数和其共轭级数的部分和逼近问题。

The positive number is called the convergent radius of power series, and is said to be the convergent interval of power series.

正数通常叫做幂级数的收敛半径,开区间叫做幂级数的收敛区间。

This term studies mainly the applications of Theory of covering surface in differential equations, potential theory, complex dynamics and several complex variables, and researches the analysis and geometry properties of random Taylor series and random Dirichlet series.

本项目主要研究覆盖曲面理论及其在微分方程、位势理论、复解析动力系统以及多复变函数中的应用;研究随机泰勒级数、随机狄里克莱级数的分析性质和几何性质。

Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.

性质3 在级数中去掉、加上或改变有限项,不会改变级数的收敛性。

The paper introduces an algorithm to natural logarithm based on Maclaurin series.

基于麦克劳林级数公式计算自然对数,构造计算式向1逼近,从而加快级数的收敛速度。

There is evidence about the knowledge of the Summation Series, ever since the Pyramid Temple of Khafra, at Giza, built in 2500 BCE, i.e.

有关和级数的证据很明显,从吉萨 Khafra神庙金字塔,建造于公元前2500年,也就是大约斐波纳契级数3700年前。

Then, an approximated model for the system is deduced by employing the differential relations of Taylor series.

该算法利用泰勒级数将系统参数化,导出一种基於泰勒级数的线性时变系统的近似模型。

Theorem 2 If the general term of the series is continuous on ,and is unanimous convergent with the sum function . Then

定理2 如果级数的各项在区间上连续,且在区间上一致收敛于,则级数在上可以逐项积分,即

Chapter 2 investigates the convergence of triple and n -ple Dirichlet series, the convergence of triple random Dirichlet series under certain conditions, and the convergence of double bi-random Dirichlet series under the conditionand obtains some results similar to double Dirichlet series.

此外还在条件 sum from m=1 to +∞ sum from n=0 to +∞ P{|X_|≥m~pn~p}<+∞下,研究了二重双随机Dirichlet级数的收敛性,得到了一些类似于二重Dirichlet级数的有关结论。

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我不赞成死刑——这是以牙还牙的报复行为。

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