| Dewey Class |
511.1 |
| Title |
The Riordan Group and Applications ( EBook/) / by Louis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang. |
| Author |
Shapiro, Louis |
| Added Personal Name |
Sprugnoli, Renzo |
| Barry, Paul |
| Cheon, Gi-Sang |
| He, Tian-Xiao |
| Merlini, Donatella |
| Wang, Weiping |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2022. |
| Physical Details |
XXII, 362 p. 19 illus., 6 illus. in color. : online resource. |
| Series |
Springer monographs in mathematics 2196-9922 |
| ISBN |
9783030941512 |
| Summary Note |
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.: |
| Contents note |
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. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-030-94151-2 |
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