Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
418298 | Discrete Applied Mathematics | 2014 | 7 Pages |
Abstract
Melham conjectured two identities between Fibonacci and Lucas numbers in 1999. Subsequently, Kilic et al. showed them in 2010 by contour integration. In this paper, we present a new proof using the qq-derivative operator. By examining two rational functions, we further derive several identities concerning Fibonomial coefficients. Finally, two well-known summation formulae on qq-series are transformed into convolution formulae on Fibonomial coefficients.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Nadia N. Li, Wenchang Chu,