On a generalization of Bessel polynomials suggested by the polynomials \(L_n^{\alpha,\beta}(x)\) of Prabhakar and Rekha (Q1282017)

In this paper, the authors study a polynomial \(Y^{(\alpha, \beta)}_n(x)\) which is a generalization of a generalized Bessel polynomial. The polynomial \(Y^{(\alpha,\beta)}_n(x)\) is defined as \(Y ^{(\alpha,\beta)} _n(x)={_2F_0}(-n,\alpha n+\beta+ 1;-;-\frac x2)\). For this polynomial, the authors obtain certain integral representations, generating functions, Rodrigues formula, recurrence relations and some characterizations.