The Riordan group and applications / Louis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang.
Shapiro, Louis, 1941- author.; Sprugnoli, Renzo, 1942- author.; Barry, Paul, 1966- author.; Cheon, Gi-Sang, author.; He, Tian-Xiao, 1952- author.; Merlini, Donatella, author.; Wang, Weiping, author.
2022
QA297.4
Available Online

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Title The Riordan group and applications / Louis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang.
Author Shapiro, Louis, 1941- author.
ISBN 9783030941512 (electronic bk.)
3030941515 (electronic bk.)
9783030941505
3030941507
DOI https://doi.org/10.1007/978-3-030-94151-2
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations (some color).
Other Standard Identifiers 10.1007/978-3-030-94151-2 doi
Call Number QA297.4
Dewey Decimal Classification 511/.1
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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 4, 2022).
Added Author Sprugnoli, Renzo, 1942- author.
Barry, Paul, 1966- author.
Cheon, Gi-Sang, author.
He, Tian-Xiao, 1952- author.
Merlini, Donatella, author.
Wang, Weiping, author.
Series Springer monographs in mathematics.
Available in Other Form Print version: 9783030941505
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
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1 Introduction
2 Extraction of coefficients and generating functions
3 The Riordan group
4 Characterization of Riordan arrays by special sequences
5 Combinatorial sums and inversions
6 Generalized Riordan arrays
7 Extensions of the Riordan group
8 q-analogs of Riordan arrays
9 Orthogonal polynomials. Solutions
Index.

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