On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables

Authors : Souhila BOUGHABA, Ali BOUSSAYOUD

Pages : 235-242

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Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :In this paper, we derive new generating functions for the products of $k$-Fibonacci numbers at negative indices, $k$-Pell numbers at negative indices, $k$-Jacobsthal numbers at negative indices, the\ product of $k$-Fibonacci numbers and Tribonacci numbers, Jacobsthal polynomials and symmetric functions in several variables by making use of useful properties of the symmetric functions.
Keywords : k Fibonacci numbers, Generating functions, k Pell numbers