Riordan array approach to Lagrange inversion formulas and Chung-Feller theory

Tian Xiao He

Illinois Wesleyan University

Scholarship:

Journal Article

Article

Peer-review

Abstract

This paper studies various commonly used Lagrange inversion formulas by using A-sequences of Riordan arrays and half Riordan arrays. The Riordan array approach to construct Chung-Feller relationships by using Lagrange inversion formulas and half Riordan arrays is also represented. The generalized Delannoy matrices and Fuss-Catalan matrices are used to illustrate the procedure.

Scholarship

Output type

Scholarship:

Journal Article

Article

Peer-review

Original language

English

Article number

102454

Journal (Volume, Issue Number)

Advances in Applied Mathematics (Volume 144)

Publication milestones

Published - 03/2023

Publication status

Published - 03/2023

ISSN

0196-8858

Publication IDs

Scopus: 85141275346

Documents and links

10.1016/j.aam.2022.102454

Funding Details

The author wishes to express his sincere thanks to the referee and editor for helpful comments and remarks that lead to an improved and revised version of the original manuscript.