Abstract
We present identities used to represent real numbers of the form
We present identities used to represent real numbers of the form
F. Dubeau, “On -generalized Fibonacci numbers,” The Fibonacci Quarterly, vol. 27, no. 3, pp. 221–229, 1989.
View at: Google Scholar | Zentralblatt MATH | MathSciNetEKHAD, a MAPLE package by Doron Zeilbeger, http://www.math.rutgers.edu/~zeilberg/.
I. Flores, “Direct calculation of -generalized Fibonacci numbers,” The Fibonacci Quarterly, vol. 5, no. 3, pp. 259–266, 1967.
View at: Google Scholar | Zentralblatt MATH | MathSciNetG. Grossman and S. Narayan, “On the characteristic polynomials of the th order Fibonacci sequence,” in Applications of Fibonacci Numbers, Vol. 8 (Rochester, NY, 1998), F. T. Howard, Ed., pp. 165–177, Kluwer Academic, Dordrecht, 1999.
View at: Google Scholar | MathSciNetG. Grossman, A. Tefera, and A. Zeleke, “On proofs of certain combinatorial identities,” to appear in Proceedings of the 11th International Conference on Fibonacci Numbers and Their Applications.
View at: Google ScholarG. Grossman and A. Zeleke, “On linear recurrence relations,” Journal of Concrete and Applicable Mathematics, vol. 1, no. 3, pp. 229–245, 2003.
View at: Google Scholar | MathSciNetW. Koepf, Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities, American Mathematical Society, Rhode Island, 1998.
View at: Google ScholarM. Petkovšek, H. S. Wilf, and D. Zeilberger, , A. K. Peters, Massachusetts, 1996.
View at: Google Scholar | MathSciNetR. P. Stanley, Enumerative Combinatorics. Vol. 1, vol. 49 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1997.
View at: Google Scholar | Zentralblatt MATH | MathSciNetK. Wegschaider, Computer generated proofs of binomial multi-sum identities, Diploma thesis, RISC, J. Kepler University, Linz, 1997.
View at: Google Scholar