Cycle indicators and special functions
type: Item
instance of: scholarly article
title: Cycle indicators and special functions
zbMATH Open document ID: 0987.05007
DOI: 10.1007/PL00001299
author: Leetsch C. Hsu
author: Peter J.-S. Shiue
published in: Annals of Combinatorics
publication date: 2002-06-16T00:00:00Z
review text: It is shown that a class of special functions (involving Sheffer-type polynomials and Gegenbauer-Humbert-type polynomials) could have cycle indicator representations and some recurrence relations. This implies the conclusion that classical special functions with simple logarithms of generating functions can be classified this way. This paper is mainly devoted to establish various relations and identities for special functions and remarkable number sequences.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 12E10
zbMATH DE Number: 1756464
zbMATH Keywords: cycle indicator
zbMATH Keywords: \(C_n\)-representation
zbMATH Keywords: \(C_n\)-representablity
zbMATH Keywords: generating functions
zbMATH Keywords: identities
MaRDI profile type: Publication
full work available at URL: pl00001299
OpenAlex ID: W2086611233
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description: scientific article; zbMATH DE number 1756464