On a multivariable extension of the Humbert polynomials

摘要

In this paper, we present a multivariable extension of the Humbert polynomials, which is motivated by the Chan–Chyan–Srivastava multivariable polynomials, the multivariable extension of the familiar Lagrange–Hermite polynomials and Erkus–Srivastava multivariable polynomials. We derive various families of multilinear and mixed multilateral generating functions for these polynomials. Other miscellaneous properties of these multivariable polynomials are also discussed. Some special cases of the results presented in this study are also indicated.