Determinant Representations of Polynomial Sequences of Riordan Type | Zendy

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

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Determinant Representations of Polynomial Sequences of Riordan Type

Author(s) -

Sheng-Liang Yang,

Sai-Nan Zheng

Publication year - 2013

Publication title -

journal of discrete mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-9837

pISSN - 2090-9845

DOI - 10.1155/2013/734836

Subject(s) - mathematics , sequence (biology) , recurrence relation , chebyshev polynomials , polynomial , matrix (chemical analysis) , matrix polynomial , characteristic polynomial , term (time) , type (biology) , combinatorics , expression (computer science) , polynomial matrix , pure mathematics , computer science , mathematical analysis , biology , physics , genetics , ecology , materials science , quantum mechanics , composite material , programming language

In this paper, using the production matrix of a Riordan array, we obtain a recurrence relation for polynomial sequence associated with the Riordan array, and we also show that the general term for the sequence can be expressed as the characteristic polynomial of the principal submatrix of the production matrix. As applications, a unified determinant expression for the four kinds of Chebyshev polynomials is given

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