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)
Table of Contents:
  • 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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