(q,h)-analogue of Newton's binomial formula
Benaoum, H. B.
arXiv, 9812028 / Harvested from arXiv
Text on arXiv
In this letter, the (q,h)-analogue of Newton's binomial formula is obtained in the (q,h)-deformed quantum plane which reduces for h=0 to the q-analogue. For (q=1,h=0), this is just the usual one as it should be. Moreover, the h-analogue is recovered for q=1. Some properties of the (q,h)-binomial coefficients are also given. This result will contribute to an introduction of the (q,h)-analogue of the well-known functions, (q,h)-special functions and (q,h)-deformed analysis.
Publié le : 1998-12-28
Classification:  Mathematical Physics 
@article{9812028,
     author = {Benaoum, H. B.},
     title = {(q,h)-analogue of Newton's binomial formula},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812028}
}

Benaoum, H. B. (q,h)-analogue of Newton's binomial formula. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812028/