Pascal matrix type and the hypergeometric function;
Pascal矩阵类与超几何函数
Given the hypergeometric function F(a , b; c; z) and F1 (z) = zF(a , b; c; z) , we determine conditions on a, b, c, A, B I λ, to guarantee that (1 - )F1 (z) + zF1 (z) (30) will be in the class T(X, A, B).
给定 Ｆ１（ｚ）＝ｚＦ（ａ，ｂ；ｃ；ｚ），这里Ｆ（ａ，ｂ；ｃ；ｚ）是超几何函数，我们对ａ，ｂ，ｃ，Ａ；Ｂ，λ，μ确定条件，使得函数（１－μ）Ｆ１（ｚ）＋ μｚＦ１’（ｚ）（μ ≥ ０）属于类 Ｔ（λ，Ａ，Ｂ）。
In this paper,we give the holomorphic automorphism groups and,compute the Bergman kernel functions represented by hypergeometric functions when the parameters are positive integers and the Bergman kernel functions in explicit formulas when one of the parameters is positive real number but the inverses of the other numbers are positive integers on the generalized Hua domains.
给出了 4类广义华罗庚域的全纯自同构群及其当参数都是正整数的Bergman核函数的超几何函数表达式和当参数之一为正实数而其余参数的倒数为正整数的Bergman核函数的显表达式 。
And great importance is given to the position of confluent hypergeometric functions.
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
The mathematical expression of Nusselt number was obtained by solving the energy equation of a laminar falling film by means of confluent hypergeometric function,of which the speed profile was determined by gas-liquid interfacial stress,and the temperature profile and Nusselt number in downstream direction were presented.
利用合流超几何函数求解了切应力作用下降膜过程的能量方程,其中液膜内速度分布由气液界面切应力决定,并解得努塞尔数的计算表达式,分析了液膜温度和努塞尔数的变化趋势,讨论了同向与反向切应力、贝克来数对层流降膜传热特性的影响。
Properties of Analytic Functions Defined by Hypergeometric Functions;
用超几何函数定义的解析函数的性质
A Certain Class of Meromorphically Multivalent Functions Involving the Generalized Hypergeometric Function
含广义超几何函数的亚纯多叶函数类
The Generalization of a Partition Function Equality and a New Proof of Hypergeometric Functions Identity;
分拆函数等式的推广及超几何函数恒等式的新证明
Computation of Orlik-Solomon Algebra and Hypergeometric Function Expressions for the Molecule-Micropore Potential;
OS代数的机器计算与介孔分子势能的超几何函数表示
Hypergeometric Series Method for Riemann-Zeta Function and Combinatorial Identities;
Riemann-Zeta函数的超几何级数方法和组合恒等式
Relation between Geometric Convex Function, Square Convex Function and Convex Function;
几何凸函数平方凸函数与凸函数的关系
Bayesian estimation of geometric distribution parameterunder entropy loss function;
熵损失函数下几何分布参数的Bayes估计
Geometrical Explication of Fourier Series about a Function;
函数展开成Fourier级数的几何解释
The ringed space is a recent development of the geometric function theory.
赋环空间是几何函数论的最新发展。
Some Geometry Properties of the Musielak-Orlicz Function Space;
Musielak-Orlicz函数空间的若干几何性质
Investigation of Some Problems on the Geometric Convex Functions;
对函数几何凸性若干问题的理论研究
The Geometric Descriptions concerning the Multiplication Division and Involution of the Functional Figures;
关于函数图形乘、除、乘方的几何画法
Accurate equilibrium separation and potential energy function of the ground state of LiF molecule
LiF分子基态的平衡几何与势能函数
Several results of q- analogue of basic hypergeometric series;
基本超几何级数q-模拟的几个结果
On the Geometric Mean Value of Product of Non-zero Digits in Base M;
关于M进制中非零数字之积函数的几何均值
GEOMETRICAL FIT OF EXPERIMENTAL VARIOGRAMWITH DOUBLE STRUCTURES
二级套合结构实验变差函数的几何拟合
Study on the Improved Quasi-Static Nodal Green s Function Method under Cylinder Goemetry;
圆柱几何下改进准静态格林函数节块法的研究
Properties of Population Processes with Geometric Catastrophe and Their Dual Transition Functions;
几何突变人口过程及其对偶转移函数的性质