Finding hybrid relatives of the Bessel polynomials

M. Ali, S. Khan, Sh. Ahmad Naikoo

In this work, the 2D-Appell and the Bessel polynomials are combined to introduce the family of the 2D-Appell-Bessel polynomials. The generating function, quasi-monomial properties, series definition and determinant form of these polynomials are established. Examples of some members belonging to this family are considered. The graphs of some hybrid special polynomials are also drawn for suitable values of the indices.

Tbilisi Mathematical Journal, Vol. 12(3) (2019), pp. 141-158