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

Creative Commons License

KIZILATEŞ C., ÇEKİM B., TUĞLU N., Kim T.

SYMMETRY-BASEL, vol.11, no.2, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.3390/sym11020264
  • Journal Name: SYMMETRY-BASEL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Fibonacci polynomials, Lucas polynomials, trivariate Fibonacci polynomials, trivariate Lucas polynomials, generating functions, FIBONACCI, EQUATIONS
  • Gazi University Affiliated: Yes

Abstract

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.