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The riordan group and applications

Shapiro, Louis.

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The riordan group and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	The riordan group and applications/ by Louis Shapiro ... [et al.].
Author:	Shapiro, Louis.
other author:	Sprugnoli, Renzo.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xxii, 362 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Discrete mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-94151-2
ISBN:	9783030941512

The riordan group and applications
Shapiro, Louis.

The riordan group and applications[electronic resource] /by Louis Shapiro ... [et al.]. - Cham :Springer International Publishing :2022. - xxii, 362 p. :ill. (some col.), digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

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.

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.

ISBN: 9783030941512

Standard No.: 10.1007/978-3-030-94151-2doiSubjects--Topical Terms:

3448845
Discrete mathematics.

LC Class. No.: QA297.4 / .S43 2022

Dewey Class. No.: 511.1

The riordan group and applications
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245 1 4 $a The riordan group and applications $h [electronic resource] / $c by Louis Shapiro ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xxii, 362 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 2196-9922
505 0 $a 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.
520 $a 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.
650 0 $a Discrete mathematics. $3 3448845
650 0 $a Combinatorial analysis. $3 523878
650 1 4 $a Discrete Mathematics. $3 1569938
700 1 $a Sprugnoli, Renzo. $3 3599442
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950 $a Mathematics and Statistics (SpringerNature-11649)