Award Date

1-1-2002

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Peter Shiue

Number of Pages

48

Abstract

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]).

Keywords

Cycle; Indicator; Polynomials; Representation; Special

Controlled Subject

Mathematics

File Format

pdf

File Size

993.28 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

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