Generating Matrices of C-nomial Coefficients and Their Spectra
Abstract
In this paper, we consider a generalization of binomial coefficients, called C-nomial coefficients, 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 20, 2010
- Accession Number
- ADA548919
Entities
People
- Emrah Kilic
- Pantelimon Stanica
Organizations
- Naval Postgraduate School