Cycle indicators and special functions

DOI10.1007/PL00001299zbMath0987.05007OpenAlexW2086611233MaRDI QIDQ1600803

Leetsch C. Hsu, Peter Jau-Shyong Shiue

Publication date: 16 June 2002

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001299

zbMATH Keywords

generating functionsidentitiescycle indicator\(C_n\)-representablity\(C_n\)-representation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Recurrences (11B37) Special sequences and polynomials (11B83) Special polynomials in general fields (12E10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (11)

Application of Faà di Bruno's formula in characterization of inverse relations ⋮ The Sheffer group and the Riordan group ⋮ Bell polynomials and nonlinear inverse relations ⋮ On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials ⋮ Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials ⋮ A symbolic operator approach to several summation formulas for power series. II ⋮ Generalized Humbert polynomials via generalized Fibonacci polynomials ⋮ Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials ⋮ Symbolization of generating functions; an application of the Mullin-Rota theory of binomial enumeration ⋮ Some results on convolved (p,q)-Fibonacci polynomials ⋮ Generalized Fermat, double Fermat and Newton sequences.

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