h-analogue of Fibonacci Numbers
نویسنده
چکیده
In this paper, we introduce the h-analogue of Fibonacci numbers for non-commutative h-plane. For hh = 1 and h = 0, these are just the usual Fibonacci numbers as it should be. We also derive a collection of identities for these numbers. Furthermore, h-Binet’s formula for the h-Fibonacci numbers is found and the generating function that generates these numbers is obtained. 2000 Mathematical Subject Classification : 11B39, 11B65, 11B83, 05A30, 05A10 Keyword : Mathematical physics, Non-Commutative Geometry, Generalized Fibonacci numbers and Polynomials, Binomial Coefficients
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