The Riordan Group and Applications by Louis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang.

The Riordan Group and Applications

The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics ove...

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Bibliographic Details
Main Authors: Shapiro, Louis (Author), Sprugnoli, Renzo (Author), Barry, Paul (Author), Cheon, Gi-Sang (Author), He, Tian-Xiao (Author), Merlini, Donatella (Author), Wang, Weiping (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2022.
Edition:1st ed. 2022.
Series:Springer monographs in mathematics.
Subjects:
Discrete mathematics.
Online Access: Full text (Wentworth users only)
Description
Summary:The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.
Physical Description:XXII, 362 pages 19 illustrations, 6 illustrations in color : online resource.
ISBN:9783030941512
ISSN:2196-9922
DOI:10.1007/978-3-030-94151-2

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