卷积式的拓方运算及其应用  

Generalized power operation of convolution form and its application

作　　者：刘智全[1] LIU Zhiquan(Fengrun Middle School of Tangshan,Tangshan 064000,China)

机构地区：[1]唐山市丰润镇中学,河北唐山064000

出　　处：《高师理科学刊》2022年第7期4-9,14,共7页Journal of Science of Teachers＇College and University

摘　　要：在《介绍一种新的数学工具——“卷积式”》一文的基础上,提出了卷积式的拓方运算,研究了其运算性质,进而提出了高次组合数及相关公式.运用卷积式及其拓方的相关理论解决了若干个多项式积的展开问题及2类Stirling数的卷积式表示问题.Based on the paper《Introduction of a new mathematic tool—convolution form》,the generalized power operation of convolution form is proposed,the operational properties are studied,and then the higher-order combinatorial numbers and related formulas are proposed.The expansion of several polynomial products and the convolution representation of two kinds of Stirling numbers are solved by using the theory of convolution and its generalized power.

关 键 词：卷积式 卷积式的拓方 高次组合数 STIRLING数 

分 类 号：O157[理学—数学]