Generating matrices of C-nomial coefficients and their spectra
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Authors
Kilic, Emrah
Stănică, Pantelimon
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Date of Issue
2011
Date
2010-04-20
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Abstract
In this paper, we consider a genralization of binomial coefficients, called C-nomial coeeficients, dependent upon a sequence {Un]n, with indices in arithmetic progressions. We obtain a general recurrence relation and a generating matrix, and point out some new relationships between these coefficients and the generalized Pascal matrices. Further, we obtain generating functions, combinatorial representations, and many new interesting identities and properties of these coefficients.
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Article
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Department
Applied Mathematics
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Naval Postgraduate School (U.S.)
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Citation
Proc. International Conf. Fibonacci Numbers & Applic. (F. Luca, P. Stanica, Eds.), Aportaciones Matematicas, Sociedad Matematica Mexicana, 2011, 91-96.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.