Partial Fraction Decomposition and Determinant Identities

Wenchang Chu 1, Xiaoyuan Wang2, Wenlong Zhang3
1DIPARTIMENTO DI MATEMATICA E Fisica “ENNIO DE Grorcl” UNIVERSITA DEL SALENTO, LECCE-ARNESANO P. O. Box 193 73100 Lecce, ITaLy
2 SCHOOL oF SCIENCE DALIAN JIAOTONG UNIVERSITY DALIAN 116028, P. R. China
3 ScHOOL OF MATHEMATICAL SCIENCES DALIAN UNIVERSITY OF TECHNOLOGY DALIAN 116024, P. R. China

Abstract

By means of the partial fraction decomposition method, we evaluate a very general determinant of formal shifted factorial fractions, which covers numerous binomial determinantal identities.