Date of Award
Honors Thesis (Open Access)
Colby College. Mathematics and Statistics Dept.
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.
Hankel, Linear Algebra, Integer Sequences, Toeplitz
Recommended CitationLevine, Matthew J., "The Central Hankel Transform" (2015). Honors Theses. Paper 758.
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