A Determinant Expression for the Generalized Bessel Polynomials | Zendy

Sheng-Liang Yang | Zendy; Sai-Nan Zheng | Zendy

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A Determinant Expression for the Generalized Bessel Polynomials

Author(s) -

Sheng-Liang Yang,

Sai-Nan Zheng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/242815

Subject(s) - bessel function , mathematics , bessel polynomials , sequence (biology) , catalan number , expression (computer science) , polynomial , exponential function , bessel process , pure mathematics , combinatorics , orthogonal polynomials , wilson polynomials , mathematical analysis , difference polynomials , classical orthogonal polynomials , gegenbauer polynomials , computer science , biology , genetics , programming language

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

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