Date of Award
2015
Document Type
Honors Thesis (Open Access)
Department
Colby College. Mathematics and Statistics Dept.
Advisor(s)
Benjamin Mathes
Abstract
This honors thesis presents the Hankel transform on an integer sequence, a function with colorful mathematical history and rich theoretical background. We then introduce a matricial Toeplitz transform that parallels some of most famous qualities of the Hankel transform, especially when in consideration of popular sequences like the Fibonacci numbers. The result is a characterization of the injectivity of this new function, a description of some of its interesting behaviors, and a discussion of a few new Fibonacci identities.
Keywords
Hankel, Linear Algebra, Integer Sequences, Toeplitz
Recommended Citation
Levine, Matthew J., "The Central Hankel Transform" (2015). Honors Theses. Paper 758.https://digitalcommons.colby.edu/honorstheses/758
Copyright
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