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However, the second associated Legendre function is too complicated to compute, so a simple and practical ellipsoidal harmonic series expansion is introduced, and the series solution and integral solution of the Dirichlet boundary value problem and the Neumann boundary value problem under ellipsoidal boundary are given.

鉴于展开式中第二类缔合勒让德函数的计算较为复杂,接着引入一种形式简单、实用的椭球谐级数展开,介绍了椭球界面下Dirichlet边值问题和Neumann边值问题的级数解和积分解。

If each term of the series u1+u2+…un+…is continuous on the interval[a,b], and this series is uniformly convergent on[a,b], then its sum function is also continuous on [a,b].

若级数u1+u2+…un+…的每一项在[a,b]上连续,而且这级数在[a,b]上一致收敛,则它的和函数也在[a,b]上连续

With induction of precision order, the growth of Dirichlet series of rearrangement of the coefficients is investigated.

研究了狄里克莱级数引入精确级后系数经过重排的增长性,得到了有限级狄里克莱级数的系数经过重排后级和型保持不变的充要条件。

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。

Of the series and several columns do not understand please see this article: Series and the concept of a1, a1q, a1q2, a1q3 ...., called the common ratio for the q of the geometric sequence.

对级数和数列不了解的请先看这篇文章:数列与级数的概念a1, a1q, a1q2, a1q3。。。。,称为公比为q的等比数列。

So using theory of power series to define and study function is an effective method of deal with question of function.

因此,用幂级数定义和研究函数是处理函数问题的一种有效的手段,并能给问题的解决带来一些方便,但是,幂级数只是函数的一种表示形式,只有与函数的其他表示形式相互协调和补充,才能真正简洁有效地处理函数问题。

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。

In this paper the different methods ti find general term formulas of power series sum functions,by means of which coefficients are higher arithmetical of geometrical sequence .

利用差分法导出了求幂级数和函数的一个通项公式,用它能求出系数为高阶等差数列和高阶等比数列的幂级数∑∞n=0 anxn的和函数

This paper first Studies the relation between coefficients and the growth of Dirichlit se-ries of zero order in the whole plane,and further proves that the growth of random entire functions defined by random Dirichlet series of zero order in every horizotal straight lines is almost surely equal tothe growth of entire functions defined by its corresponding Dirichlet series.

首先研究了全平面上零级狄里克莱级数的系数和增长性之间的关系,然后证明了对于本级随机狄里克莱级数所确定的随机整函数,在每条水平直线上的增长性几乎必然

The results show that x does not change deuterating-dedeuterating reaction order. Activation energy increases while the rate constant decreases with x increasing. Deuterating and dedeuterating reaction order a (with respect to deutertium pressure) and b (with respect to deuterium content) are 2 and 1, 0.5 and 1, respectively.

研究结果表明,铝含量不改变合金的氘化与去氘化的反应级数;反应速率常数随x的增加而减少;活化能随x的增加而增加;氘化与去氘化反应级数 a和 b 分别为2和1及0.5和1。

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