Equations of Mathmatical Physics & Special Functions

This paper structured the special functional equation including a random variable for modle building to rish analysis f(f~-1(E (f(X))) +y)=E (f(X+y)).

为建立风险分析模型构造出一种含随机变量X的特殊函数方程f(f~-1(E(f(X)))+y)＝E(f(X+Y))，目前尚未有统一解法。

This paper propose the analytical solve of effective factor of one-dimensional cylindroid catalyst, which takes an one-order inreversible reaction, by using special functions.

　利用特殊函数求出了一维圆柱形催化剂在等温一级不可逆反应中的效率因子,并对其渐进方程和普遍化效率因子进行了讨论。

Based on the relationship between special functions and the Sturm-Liouville equation,we ohtained a Unified formula for calculating the normalization integral of different special functions,so as to avoid the cumbersome calculations of the difficulty integration in different cases.

以各类特殊函数与S turm-L iouv ille本征方程之间关系为基础,导出了一个计算各类特殊函数模积分的一个统一公式,这样不仅避免了过去要对不同的特殊函数分别用不同方法计算模的积分,而且使模的计算本身得到较大简化。

In this paper, the author makes use of some properties of elliptic integrals to study the well -known special functions λ(K).

本文利用椭圆积分研究平面拟共形理论中重要的特殊函数λ（K）及其一般形式λ（K。

New method of detecting special function of decomposition map;

基于分解图检测特殊函数的新方法

The electric potential and the field of point charge are resolved with a special function.

利用特殊函数求解电势、电场 ,计算了点电荷与磁偶极子相互作用的电磁角动量。

According to some typical mathematical equations, a few commonly used special functions which would be inevitably used in the process in the researching of theory physics are introduced.

结合有代表性的数理方程 ,引出了在理论物理研究中不可避免地要用到的几种常见特殊函数 ,重点给出这些特殊函数之间的关系 ,从而突出合流超几何函数的重要地位 ,有助于提高对特殊函数的驾驭能

Equations of Mathematical Physics & Special Functions

数理方程与特殊函数

Some Mean Values on Arithmetical Functions and Equations Involving Arithmetical Functions;

一些关于数论函数的均值及包含数论函数的特殊方程

The Mean Value Problems of Some Special Number Theory Function and All Solutions of the Equation

一些特殊函数的均值及其方程的解的问题

The Special Function Difference, Difference Quotient, Integral and Orthogonal, Norm Function in Mizar

特殊函数差分差商积分及函数正交性与函数范数的Mizar实现研究

A security hashing algorithm for Direct Anonymous Attestation Scheme;

DAA方案中一种特殊Hash函数的设计

Probing into the Teaching Method on Derivative Calculation of Two Kinds of Special Function;

两类特殊函数的导数计算教学方法的探讨

The Rational Solution of One and Two Dimensions KP Equation;

Kadomtsev-Petviashvili方程的有理函数解

A New Physical Interpret of Function Ψ of Antiparticle and Klein-Gordon Equation;

反粒子与Klein-Gordon方程Ψ函数的物理意义

Homogeneitisation principle and Green s function in ordinary differential equations;

常微分方程中的齐次化原理与Green函数

Methods in Evaluating Integrals, Some Complex Variable Methods, infinite Series, Special Function, Ordinary Differential Equations, Vector and Materials, Groups and Group Representations.

计算积分的方法、数方法、线级数、殊函数、分方程、量及矩阵、论。

A Special Exact Solution of Nonlinear Equation of Mathematical Physics;

非线性数理方程的一类特殊形式的精确解

The Mean Value of Arithmetic Function on Special Sequencs

关于一些特殊数列上数论函数的均值

Solution Formulas of Functions and Their Derivative Given by Three Types of Functional Equations;

三类由函数方程给出的函数与导数的求解公式

An Automatic Approach to the Generating Functions of Some Special Sequences;

求解某些特殊序列发生函数的自动化方法

Method of detecting special function with arbitrary term based on decomposition map

基于分解图检测含任意项特殊逻辑函数的方法

Complex Oscillation Theory of Differential Euqations and Uniqueness Theory of Functions;

微分方程的复振荡理论与函数的唯一性理论

Finite precision function theory and photon solution of Einstein-Maxwell equations

有限精度函数理论与Einstein-Maxwell方程的光子解

Numerical Method of Some Special System of Equations and Its Application;

若干特殊方程组的数值解法及其应用