Representation of special polynomials by the cycle indicator

Certain classes of special functions have been shown to have Cycle Indicator representations as well as recurrence relations. Most remarkably, it is shown how the Cycle Indicator can be used to unify or generalize special functions. Methods of unifying special functions are elaborated on. It follows that classical special functions with simple logarithms of their generating functions can be classified in this way. Also, there are counter-examples where the Cycle Indicator doesn't represent the special functions given; This thesis represents a study of a journal article called "Cycle Indicators and Special Functions" by Leetsch C. Hsu and Peter Jau-Shyong Shiue in the Annals of Combinatorics (cf. Hsu and Shiue, [10]).

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematical Sciences

Grantor dc:publisher

University of Nevada, Las Vegas

Year

2002

Author dc:creator

• Schofield, Jack Lund

Contributors dc:contributor

• Peter Shiue

Statement dc:rights

• IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

Language dc:language

English

Identifier

https://oasis.library.unlv.edu/rtds/1418

OAI identifier oai:identifier

oai:oasis.library.unlv.edu:rtds-2417