A Determinant Expression for the Generalized Bessel Polynomials

Author:

Yang Sheng-liang1,Zheng Sai-nan1

Affiliation:

1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

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