Physics – Mathematical Physics
Scientific paper
1998-12-28
J.Phys.A32:2037-2040,1999
Physics
Mathematical Physics
7 pages, latex, to appear in J.Phys.A:Math.Gen
Scientific paper
10.1088/0305-4470/32/10/019
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.
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