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A Determinant Expression for the Generalized Bessel Polynomials

A Determinant Expression for the Generalized Bessel Polynomials

Using the exponential Riordan arrays, we show that a variation of the generalized Bessel polynomial sequence is of Sheffer type, and we obtain a determinant formula for the generalized Bessel polynomials. As a result, the Bessel polynomial is represented as determinant the entries of which involve Catalan numbers.