Extensions of Vandermonde determinant by computing divided differences
- 100 Downloads
As extensions of Vandermonde determinant, we establish a general determinant evaluation formula by means of the Laplace expansion formula. Several interesting determinant identities are consequently derived by computing divided differences.
KeywordsVandermonde determinant Divided differences Symmetric functions
Mathematics Subject ClassificationPrimary 15A15 Secondary 05E05
The authors are sincerely grateful to the anonymous referees for their careful reading and valuable comments that have significantly contributed to improve the manuscript during the revision.
- 7.Milne Thomson, L.M.: The Calculus Of Finite Differences Macmillan (1933) (reprinted Dover (1981))Google Scholar