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.

  • Kapsamı

    Uluslararası

  • Type

    Hakemli

  • Index info

    WOS.SCI

  • Language

    English

  • Article Type

    None

  • Keywords

    Fibonacci polynomials Lucas polynomials trivariate Fibonacci polynomials trivariate Lucas polynomials generating functions