The Riordan Group and Applications

This book is a comprehensive monograph on the Riordan group, authored by leading experts in the field. It has played a unifying role in enumerative combinatorics and has connections to other areas such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences, and series. It has also made links to quantum field theory and has applications in computer science and computational chemistry.

Format: Hardback
Length: 362 pages
Publication date: 29 April 2022
Publisher: Springer Nature Switzerland AG

The ever-expanding realm of applications and diverse approaches to the Riordan group is intricately explored in this comprehensive monograph, penned by esteemed founders and foremost global experts in this field. The concept of a Riordan array has emerged as a central thread in enumerative combinatorics, spanning the past three decades. The Riordan arrays and Riordan group represent a vibrant new growth point in mathematics, drawing influence from and contributing to diverse fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences, and series. Noteworthy examples include the Beal conjecture, Riemann hypothesis, and quantum field theory, where the Riordan group has found practical applications in computer science and computational chemistry. As our understanding of this field deepens, we eagerly anticipate the discovery of new and unexpected applications that will push the boundaries of research. Serving as a foundational resource and a catalyst for future advancements, this book is an invaluable text for anyone with an interest in discrete mathematics, encompassing combinatorics, number theory, matrix theory, graph theory, and algebra.

Weight: 740g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030941505
Edition number: 1st ed. 2022