zonal harmonics

Integral Representation and Estimation of Harmonic Functions in Half-Plane;

半平面中调和函数的积分表示和估计

The Dirichlet boundary value problem for harmonic function;

调和函数的Dirichlet边值问题

Then,we further obtain that each bounded weak solution is of sharp Hlder exponent with anyγ:0≤γ<k under the additional data regularity assumptions,where k is just as the local Hlder index of A-harmonic functions.

利用Moser-Nash迭代和稠密引理,得到了在自然增长下的非线性退化椭圆方程有界弱解具有某一Hlder指数的正则性;在已知数据的进一步正则性下,建立了具有任意γ满足0≤γ<κ的优化Hlder连续性指数,其中κ是A-调和函数的局部Hlder连续指数。

karp to prove that on such kind of 2 Mfd which curvature k≥-1r 2 log r outside a compact set there exist no nonconstant subharmonic functions which bounded f.

Ｋａｒｐ的方法证明：在某个紧致集外满足曲率ｋ≥－１ｒ２ｌｏｇｒ的二维流形上不存在有上界的非常值下调和函数。

In this paper, applying Life theory of complex-functional, not only the space harmonic functions in polynomial form but also the spherical functions are obtained.

本文以泛复变函数为工具，成功地构造出多项式型空间调和函数族，通过坐标变换和正交化过程，进而又获得了球函数。

It is proved for harmonic functions an integral identity.

本文推导出调和函数的一个积分恒等式,并把这个结果推广到方程△_pu=0(P>1)的解的情形。

The basic equations are generalized from those of the transversely isotropic magneto-electro-elastic media, and the general solutions in forms of harmonic functions in the case of distinct eigenvalues are derived.

从横观各向同性磁电弹性体的三维基本方程出发,简化得到平面问题的基本方程,给出了用4个拟调和函数表达的4个特征根互异情况下的通解,进而以试凑法推导出了自由端作用集中力的悬臂磁电弹性梁的位移、电势、磁势、应力、电位移和磁通密强度的解析解,所得解易于理解、便于校对、形式简洁。

The basic equations are generalized from those of the transversely isotropic magnetoelectroelastic media, and the general solution in forms of harmonic functions in the case of distinct eigenvalues are derived.

从横观各向同性磁电弹性体的三维基本方程出发,简化得到平面问题的基本方程,给出了用四个拟调和函数表达的四个特征根互异情况下的通解,进而以试凑法推导出了均布荷载作用下简支磁电弹性梁的位移、电势、磁势、应力、电位移和磁通密强度的解析解,所得解有易于理解、便于校对、形式统一简洁的特点。

A Method of Making an Analysis Function From a Harmonic Function

由调和函数构造解析函数的一种方法

Research on several qualities of harmony function and order harmony function;

关于调和函数与次调和函数的几个性质的研究

Some Properties ofφ-Harmonic Functions andφ-Subharmonic Functions on Riemannian Manifolds;

黎曼流形上的φ-调和函数和φ-次调和函数的几点性质

THEORY OF HARMONIC FUNCTIONS OF CLASSICAL DOMAINS(Ⅰ)--HARMONIC FUNCTIONS IN THE HYPERBOLIC SPACE OF MATRICES

典型域上的调和函数论(Ⅰ)——矩阵双曲空间的调和函数

Some properties for several kinds of harmonic functions in Clifford analysis

Clifford分析中几类调和函数的性质

A Simple Proof for the Higher Integrability of A-harmonic Functions

A-调和函数高阶可积性的简单证明

The expressions of temperature distribution function and displacement function of a easing string by steam flooding are worked out respectively by separate variable method and harmonic function method.

用分离变量法和调和函数法分别求解套管温度分布函数和位移函数表达式。

A Simple Method of Getting Corresponding Analytic Function by Means of Harmonic Function

由已给调和函数求与之对应解析函数的一种简便方法

A CLASS OF LACK COEFFICIENT UNIVALENT HARMONIC FUNCTIONS DEFINED BY THE GENERALIZED SALAGEAN OPERATOR

用Salagean算子定义的缺系数的单叶调和函数类(英文)

Solving Method of Two Harmonic Functions Dirichlet Problem and Discussion of Harmonic Functions Extremum Principle;

两类调和方程的狄利克雷问题的解法和调和函数极值原理的研究

The Infinitesimal Generator under G-expectation, the g-supermartingale and g-superharmonic Function;

g-期望的无穷小生成元,g-上鞅与g-上调和函数

Harmonic Functions, Hardy Spaces and Carleson Measures on Negetively Curved Manifolds

负曲率流形上的调和函数，Hardy空间与Carleson测度

3-D Face Recognition Method Based on Spherical Harmonics

基于球面调和函数的3-D人脸识别方法

Monotonicity properties and inequalities of gamma and psi functions

Gamma函数和Psi函数的单调性质与不等式

The Criteria of Harmonic α-Bloch Function and Harmonic Little α-Bloch Function;

调和α-Bloch函数和调和小α-Bloch函数的判别准则

cylindric(al) harmonics

柱谐[圆柱, 调和]函数

Complete Monotonicity and Strongly Complete Monotonicity Properties for the Gamma and Psi Functions

GAMMA函数和PSI函数的完全单调性和强完全单调性

On Approximation of the Abel Sums for Bounded Variation Functions and ω-type Monotonic Functions;

Abel 和对有界变差函数及ω-型单调函数的逼近