Abstract
In this paper we show how the action of operators \(L_{e_{1}e_{2}}^{k}\ \)to the sequences \(\sum\nolimits_{j=0}^{\infty}aj\ {e^{j}_{1}}z^{j}\) allows us to obtain an alternative approach of Fibonacci numbers and some results of Foata and other results on Tchebychev polynomials of first and second kind.
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Ali, B., Mohamed, K., Abderrezzak, A. (2013). A Generalization of Some Orthogonal Polynomials. In: Anastassiou, G., Duman, O. (eds) Advances in Applied Mathematics and Approximation Theory. Springer Proceedings in Mathematics & Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6393-1_14
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DOI: https://doi.org/10.1007/978-1-4614-6393-1_14
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