L'operatore di differenze multivariate è utilizzato per stabilire varie formule di somme riguardanti le funzioni simmetriche, le quali hanno uno stretto legame con le identità del «termine costante».
@article{BUMI_1999_8_2B_3_609_0, author = {Wenchang Chu}, title = {Divided differences and symmetric functions}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2-A}, year = {1999}, pages = {609-618}, zbl = {0935.05088}, mrnumber = {1719558}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_3_609_0} }
Chu, Wenchang. Divided differences and symmetric functions. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 609-618. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_3_609_0/
[1] Canonical unit adjoint tensor operators in : Appendix A, J. Math. Phys., 11 (1970), 2368-2414. | MR 297237 | Zbl 0196.14501
- ,[2] The alternative form to an identity of Littlewoood and its multifold analogue, J. Math. Res. Exposition, 9 (1989), 198-199. | MR 1009943
,[3] An algebraic identity with its proof, Acta Math. Appl. Sinica, 13 (1990), 383-384. | MR 1099900 | Zbl 0714.05060
,[4] Statistical theory of energy levels of complex systems, J. Math. Phys., 3 (1962), 140-156. | MR 143556 | Zbl 0105.41604
,[5] Short proof of a conjecture of Dyson, J. Math. Phys., 11 (1970), 1884. | MR 258644
,[6] Constant term identities and hypergeometric functions on spaces of Hermitian matrices, J. Statist. Plann. Inference, 34 (1993), 151-158. | MR 1209996 | Zbl 0767.33010
- , , Symmetric Functions and Hall Polynomials, Oxford Univ. Press, London/New York (1979).