Generalized Humbert polynomials and second-order partial differential operators (Q1041173)

During the recent years H. Airault and A. Bouali considered a generalization of Humbert polynomials \(K_{n}^{p}(b_{1},b_{2},\dots,b_{n})\), where \(p\) is an integer and gave various expression for them and also basic properties of these polynomials. This paper deals with the polynomials \(K_{n}^{p}(b_{1},b_{2},\dots,b_{n})\) where the parameter \(p\) is any complex number. The author exposes differential equations having these polynomials as solutions.