Affiliation:
1. University of Salento
2. TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY
Abstract
By making use of known identities of terminating well-poised $q$-series,
we shall demonstrate several remarkable summation formulae involving
products of two Fibonomial/Lucanomial coefficients or quotients
of two such coefficients over a third one.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference17 articles.
1. [1] W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge,
1935
2. [2] W. N. Bailey, On the analogue of Dixon’s theorem for bilateral basic hypergeometric
series, Quart. J. Math. 1 (1), 318–320, 1950.
3. [3] D. M. Bressoud, Almost poised basic hypergeometric series, Proc. Indian Acad. Sci.
(Math. Sci.) 97 (1), 61–66, 1987.
4. [4] L. Carlitz, The characteristic polynomial of a certain matrix of binomial coefficients,
The Fibonacci Quarterly, 3, 81–89, 1965.
5. [5] L. Carlitz, Some formulas of F. H. Jackson, Monatsh. Math. 73, 193–198, 1969.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献