Q–analog of Determinant of a Kind of Binomial Coefficient Matrices
Mathematica Moravica, Tome 8 (2004) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Recently, Ratliff and Rush gave the explanation of a kind of determinant whose entries are zero and either binomial coefficients of their negative. Such work can be considered in some generalized Pascal matrices. The purpose of this paper is to establish a q–analog of the result of Ratliff and Rush. Also, a q–analogs about problem 269 in [5] are given.
Mots-clés :
Gaussian binomial coefficient, matrix, determinant, Vandermonde determinant, upper triangular matrix
@article{MM3_2004_8_1_a3, author = {Maixue Liu and Zhizheng Zhang}, title = {Q{\textendash}analog of {Determinant} of a {Kind} of {Binomial} {Coefficient} {Matrices}}, journal = {Mathematica Moravica}, pages = {15 - 24}, publisher = {mathdoc}, volume = {8}, number = {1}, year = {2004}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2004_8_1_a3/} }
Maixue Liu; Zhizheng Zhang. Q–analog of Determinant of a Kind of Binomial Coefficient Matrices. Mathematica Moravica, Tome 8 (2004) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2004_8_1_a3/