New Families of Three-Variable Polynomials Coupled with Well-Known Polynomials and Numbers

In this paper, firstly the definitions of the families of three-variable polynomials with the new generalized polynomials related to the generating functions of the famous polynomials and numbers in literature are given. Then, the explicit representation and partial differential equations for new po...

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Published in:Symmetry (Basel) 2019-02, Vol.11 (2), p.264
Main Authors: Kızılateş, Can, Çekim, Bayram, Tuğlu, Naim, Kim, Taekyun
Format: Article
Language:English
Subjects:
Fibonacci polynomials
Functions (mathematics)
generating functions
Lucas polynomials
Mathematical analysis
Numbers
Partial differential equations
Polynomials
trivariate Fibonacci polynomials
trivariate Lucas polynomials
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description In this paper, firstly the definitions of the families of three-variable polynomials with the new generalized polynomials related to the generating functions of the famous polynomials and numbers in literature are given. Then, the explicit representation and partial differential equations for new polynomials are derived. The special cases of our polynomials are given in tables. In the last section, the interesting applications of these polynomials are found.
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subjects Fibonacci polynomials
Functions (mathematics)
generating functions
Lucas polynomials
Mathematical analysis
Numbers
Partial differential equations
Polynomials
trivariate Fibonacci polynomials
trivariate Lucas polynomials
title New Families of Three-Variable Polynomials Coupled with Well-Known Polynomials and Numbers
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