Determinant, permanent, and MacMahon's master theorem

Linear Algebra and Its Applications

Volumn 255, Issue 1-3, 1997, Pages 171-183

  Wenchang, Chu ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040163965     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(95)00774-1     Document Type: Article

References (9)

1. R. Brualdi and H. Ryser, Combinatorial Matrix Theory, Cambridge U.P., Cambridge, 1991.
2. W. C. Chu, A partition identity on binomial coefficients and its applications, Graphs Combin. 5:197-200 (1989).
3. W. C. Chu, Some algebraic identities concerning determinants and permanents, Linear Algebra Appl. 116:35-40 (1989).
4. D. Foata and D. Zeilberger, Laguerre polynomials, weighted derangements, and positivity, SIAM J. Discrete Math. 1(4):425-433 (1988).
5. H. Minc, Permanents, Encyclopedia Math. Appl. 6, Addison-Wesley, 1978.
6. T. Muir, A relation between permanents and determinants, Proc. Roy. Soc. Edinburgh 22:134-136 (1897).
7. D. Vere-Jones, An identity involving permanents, Linear Algebra Appl 63:267-270 (1984).
8. D. Vere-Jones, A generalization of permanents and determinants, Linear Algebra Appl. 111:119-124 (1988).
9. J. Zeng, A bijective proof of Muir's identity and the Cauchy-Binet formula, Preprint (1992).