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《Journal of Anshan Normal University》 2018-02
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The promotion and application of Pascal function matrix

CAI Jiefeng;Minnan University of Science and Technology;  
Pascal matrix is closely related with the binomial expansion of a matrix in the combinatorial mathematics.The Pascal function matrix is the promotion of binomial expansion.The study of its nature can draw the conclusion of many combinatorial identities or other combinatorial mathematics.This paper discusses around the basic nature of it,first in a wider framework( semigroups) concluding that the nature of the necessary and sufficient conditions,and then a new kind of generalized Pascal function matrix produced,and study of the nature,and finally putting forward some specific forms of the generalized Pascal function matrix and its application.
【CateGory Index】: O151.21
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