Master of Science (MS)
First Committee Member
Number of Pages
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, ).
Cycle; Indicator; Polynomials; Representation; Special
University of Nevada, Las Vegas
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Schofield, Jack Lund, "Representation of special polynomials by the cycle indicator" (2002). UNLV Retrospective Theses & Dissertations. 1418.