h analogue of Newton's binomial formula

Details h analogue of Newton's binomial formula h analogue of Newton's binomial formula

1998-12-15

arxiv.org/abs/math-ph/9812011v1

J.Phys. A31 (1998) L751-L754

Physics

Mathematical Physics

6 pages, latex Jounal-ref: J. Phys. A: Math. Gen. 31 (1998) L751

Scientific paper

10.1088/0305-4470/31/46/001

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.

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