CUBO A Mathematical Journal Vol.12, N° 03, (1–12). October 2010

 

Partial Fractions and q-Binomial Determinant Identities

 

Wenchang Chu; Chenying Wang and Wenlong Zhang

Dipartimento di Matematica, Università del Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy email: chu.wenchang@unile.it

College of Mathematics and Physics, Nanjing University of Information Science and Technology Nanjing 210044, P. R. China email: wang.chenying@163.com

Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, P. R. China email: wenlong.dlut@yahoo.com.cn

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ABSTRACT

Partial fraction decomposition method is applied to evaluate a general determinant of shifted factorial fractions, which contains several Gaussian binomial determinant.

Key words and phrases: The Cauchy double alternant, Partial fractions, q-Binomial coefficients.

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RESUMEN

El método de descomposición en fracción parciales aplicado para evaluar un determinante general de fracciones factoriales trasladadas, la cual contiene varias identidades determinante binomial Gaussiano.

Math. Subj. Class.: 15A15, 11C20.

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