The generalized Fibonomial matrix
نویسنده
چکیده
The Fibonomial coe¢ cients are known as interesting generalization of binomial coe¢ cients. In this paper, we derive a (k + 1)th recurrence relation and generating matrix for the Fibonomial coe¢ cients, which we call generalized Fibonomial matrix. We nd a nice relationship between the eigenvalues of the Fibonomial matrix and the generalized right-adjusted Pascal matrix that they have the same eigenvalues. We obtain generating functions, combinatorial representations, many new interesting identities and properties of the Fibonomial coe¢ cients. Several cases of our results are given as examples.
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 31 شماره
صفحات -
تاریخ انتشار 2010