Barnes extended hypergeometric function

用法例句

Making use of a linear operator,which is defined here by means of the generalized hypergeometric function,we introduceand investigate a certain subclass M_p~(l,m)(α_1,λ;h) of∑_p.

设∑_p(p是正整数)表示有孔单位开圆盘内型为f(z)=z~(-p)+a_(1-p)z~(1-p)+…的解析函数类,利用广义超几何函数定义的线性算子,引进∑_p的子类M_p~(l,m)(α_1,λ,h),研究了其包含关系与卷积性质。

In this paper,by the generating functions and the Gaussian hypergeometric functions,the authors obtain some new formulae of the Apostol-Genocchi polynomials.

利用发生函数以及高斯超几何函数得到了关于Apostol-Genocchi多项式的一些新的恒等式,并进一步推导出一些特殊情况及应用。

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 。

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

Properties of Analytic Functions Defined by Hypergeometric Functions;

用超几何函数定义的解析函数的性质

The Definition of Generalized S-Geometrically Convex Function and One of Its Applications;

广义S-几何凸函数的定义及其应用一则

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

The Properties and Operations of ω-Ultradistribution Space;

ω-超广义函数空间的性质及其运算

A support set problem in ω-ultradistributions of Roumieu tape

Roumieu型ω-超广义函数空间的支集问题

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

Research on several qualities of equidegree continuous function and generalised equidegree continuous function;

关于等度连续函数和广义等度连续函数的几个性质的研究

The Properties and Operations of ω-Ultradistribution Spaces;

Beurling型ω-超广义函数空间的一些判别定理

Convolution in ω-Ultradifferentiable Function Spaces of Beuling Tape ε_((ω))(Ω)

Beurling型ω-超广义函数ε_((ω))(Ω)中的卷积运算

Estimation of the Parameters and Some Functionals of the Weibull Distribution from Generalized Censored Sample;

广义删失抽样下Weibull分布参数及几个泛函的估计

The Equivalent Condition of Several Kinds of Generalized Convex Function in Linear Topological Space;

线性拓扑空间上几种广义凸函数的等价条件

Using the constructive method for some kinds of recursion formulas of generalized Vandermonde determinant

用构造函数法求几类广义Vandermonde行列式的递推公式

Several Classes of Generalized Monotone Maps & Generalized Convex Functions and Their Application to Variational Inequalities;

几类广义单调映射与广义凸函数及在变分不等式中的应用

The Propagation of Generalized Hypergeometric Beams in ABCD Optical Systems

广义超几何光束在ABCD光学系统中的传播

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

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

generalized rational distributed lag function

广义有理分布滞后函数