Complete Homogeneous Symmetric Functions of Third and Second-Order Linear Recurrence Sequences Nabiha Saba, Ali Boussayoud and Abdelhamid Abderrezzak

doi:10.21608/ejmaa.2021.313072

Electronic Journal of Mathematical Analysis and Applications

2021

DOI: 10.21608/ejmaa.2021.313072

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Complete Homogeneous Symmetric Functions of Third and Second-Order Linear Recurrence Sequences Nabiha Saba, Ali Boussayoud and Abdelhamid Abderrezzak

Abstract: In this paper, we introduce an operator in order to derive a new symmetric functions of third and second-order linear recurrence sequences.

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Cited by 2 publications

References 9 publications

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Generating functions of binary products of (p,q)-Fibonacci-like numbers with odd and even certain numbers and polynomials

Saba

Boussayoud

2022

Filomat

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In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of generating functions of odd and even terms of Mersenne numbers, Mersenne Lucas numbers, (p,q)- Fibonacci-like numbers, k-Pell polynomials and k-Pell Lucas polynomials. By making use of the operator defined in this paper, we give some new generating functions of the products of (p,q)-Fibonacci-like numbers with odd and even terms of certain numbers and polynomials.

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Generating functions of binary products of (p,q)-Fibonacci-like numbers with odd and even certain numbers and polynomials

Saba

Boussayoud

2022

Filomat

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Symmetric and generating functions for some generalized polynomials

Saba¹,

Boussayoud²,

Chelgham³

2020

Malaya J. Mat

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In this paper, we define generalized Gaussian Padovan numbers, generalized Gaussian Padovan polynomials and generalized trivariate Fibonacci polynomials, we present the new generating functions of these generalizations, and as special cases, we investigate Gaussian Padovan numbers and polynomials, Gaussian Pell Padovan numbers and polynomials and trivariate Fibonacci and Lucas polynomials with their generating functions. Moreover, we give the new generating functions of some generalized Vieta polynomials.

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Complete Homogeneous Symmetric Functions of Third and Second-Order Linear Recurrence Sequences Nabiha Saba, Ali Boussayoud and Abdelhamid Abderrezzak

Abstract: In this paper, we introduce an operator in order to derive a new symmetric functions of third and second-order linear recurrence sequences.

Cited by 2 publications

References 9 publications

Generating functions of binary products of (p,q)-Fibonacci-like numbers with odd and even certain numbers and polynomials

Generating functions of binary products of (p,q)-Fibonacci-like numbers with odd and even certain numbers and polynomials

Symmetric and generating functions for some generalized polynomials

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