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What is Riordan Arrays and Continued Fractions about?
This document explores the relationship between Riordan arrays and continued fractions of Jacobi and Thron type, demonstrating how certain arrays can have generating functions expressed in this manner. It discusses the inverses of these arrays, their connections to orthogonal polynomials, and the implications for combinatorial sequences such as the Narayana numbers. The paper also reviews lattice paths, including Dyck, Motzkin, and Schröder paths, providing examples and applications of the discussed concep
- Author
- aoife.hennessy
- Language
- EN