Characterization of generalized Bessel polynomials in terms of polynomial inequalities
The authors prove two theorems, each of which characterizes the generalized Bessel polynomials \(y_n(x;\alpha,\beta)\) as the extremal polynomials in certain interesting inequalities of Markov type in an \(L^2\) norm. Their results are based upon an orthogonality property of the generalized Bessel polynomials, which was considered earlier by the reviewer [Appl. Math. Comput. 61, No. 2-3, 99--134 (1994; Zbl 0791.33006)].
scientific article; zbMATH DE number 1217026