论文标题
广义超几何上的APPELL多项式的某些特性
Some properties of generalized hypergeometric Appell polynomials
论文作者
论文摘要
在本文中，我们提出了一个新的实价appell-type多项式家庭$ a_n^{（k）}（m，x），$ $每个成员的每个成员都按照广义超单几何函数表示。首先发现了这种类型的多项式的生成指数函数，并给出了它们是Appell型的证据。我们在标准基础上介绍了差分运算符形式功率序列表示以及明确的公式，并为广义超几何函数建立新的身份。此外，我们得出了此多项式家族的加法，乘法和其他一些公式
In this paper, we present a new real-valued Appell-type polynomial family $A_n^{(k)}(m,x), $ every member of which is expressed by mean of a generalized hypergeometric function. The generating exponential function of this type of polynomials is firstly discovered and the proof that they are of Appell-type ones is given. We present the differential operator formal power series representation as well as an explicit formula over the standard basis, and establish a new identity for the generalized hypergeometric function. Besides, we derive the addition, the multiplication and some other formulas for this polynomial family
