关于Newton级数的符号算子方法

A Symbolic Operator Approach to Newton Series

中文关键词:  符号算子  Newton发生函数  位势多项式  超几何函数  Stirling数.

英文关键词:symbolic operator  Newton generating function  potential polynomial  hypergeometric function  Stirling number.

中文摘要:

      在本文中, 给出符号算子$(1 E)^x$的几个展开式，从而得到一些级数变换公式和$\{f(k)\}$的Newton发生函数.

英文摘要:

      In this paper, we present several expansions of the symbolic operator $(1 E)^x$. Moreover, we derive some series transforms formulas and the Newton generating functions of $\{f(k)\}$.