1998/11/20 by H. B. Benaoum, H B Benaoum · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Binomial (polynomial) #Binomial approximation #Binomial coefficient #Binomial distribution #Central binomial coefficient #Gaussian binomial coefficient #Multinomial distribution #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/31/46/001
published as J.Phys. A31 (1998) L751-L754 · 6 pages, latex Jounal-ref: J. Phys. A: Math. Gen. 31 (1998) L751
openalex publication_date 1998/11/20 · arxiv created 1998/12/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 for h = 1. Some properties of the h binomial coefficients are also given. Finally, it is hoped that such results will contribute to an introduction of the h analogue of the well known functions, h special functions and h deformed analysis.