h analogue of Newton's binomial formula
Benaoum, H. B.
arXiv, 9812011 / Harvested from arXiv
Text on arXiv
In this letter, the $h$--analogue of Newton's binomial formula is obtained in the $h$--deformed quantum plane which does not have any $q$--analogue. For $h=0$, this is just the usual one as it should be. Furthermore, the binomial coefficients reduce to $\frac{n!}{(n-k)!}$ for $h=1$. \\ Some properties of the $h$--binomial coefficients are also given. \\ Finally, I hope that such results will contribute to an introduction of the $h$--analogue of the well--known functions, $h$--special functions and $h$--deformed analysis.
Publié le : 1998-12-15
Classification:  Mathematical Physics 
@article{9812011,
     author = {Benaoum, H. B.},
     title = {h analogue of Newton's binomial formula},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812011}
}

Benaoum, H. B. h analogue of Newton's binomial formula. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812011/