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- Title
GENERATING FUNCTIONS K-FIBONACCI AND K-JACOBSTHAL NUMBERS AT NEGATIVE INDICES.
- Authors
BOUSSAYOUD, ALI; BOUGHABA, SOUHILA; KERADA, MOHAMED
- Abstract
In this paper, we calculate the generating functions by using the concepts of symmetric functions. Although the methods cited in previous works are in principle constructive, we are concerned here only with the ques-tion of manipulating combinatorial objects, known as symmetric operators. The proposed generalized symmetric functions can be used to find explicit for-mulas of the k-Fibonacci and k- Jacobsthal numbers at negative indices and of the Chebychev polynomials of first and second kinds.
- Subjects
MATHEMATICAL functions; FIBONACCI sequence; NUMBER theory; MATHEMATICAL symmetry; CONVEX domains
- Publication
Electronic Journal of Mathematical Analysis & Applications, 2018, Vol 6, Issue 2, p195
- ISSN
3009-6731
- Publication type
Article