Event Title
The Central Hankel Transform
Location
Diamond 344
Start Date
30-4-2015 11:00 AM
End Date
30-4-2015 11:55 AM
Project Type
Presentation
Description
We define central Hankel matrices, variations on the well-understood Hankel matrices, in order to investigate familiar sequences, e.g. arithmetic, Fibonacci, and Lucas sequences. We find explicit closed formulae for determinant of a central Hankel matrix of these particular sequences that ares closely related to the those of the determinants of particular Toeplitz matrices. These closed formulae lead to new identities for the Fibonacci sequence. We conclude by showing that the Central Hankel Transform can uniquely describe the generalized Fibonacci sequence.
Faculty Sponsor
Ben Mathes
Sponsoring Department
Colby College. Mathematics and Statistics Dept.
CLAS Field of Study
Natural Sciences
Event Website
http://www.colby.edu/clas
ID
1625
The Central Hankel Transform
Diamond 344
We define central Hankel matrices, variations on the well-understood Hankel matrices, in order to investigate familiar sequences, e.g. arithmetic, Fibonacci, and Lucas sequences. We find explicit closed formulae for determinant of a central Hankel matrix of these particular sequences that ares closely related to the those of the determinants of particular Toeplitz matrices. These closed formulae lead to new identities for the Fibonacci sequence. We conclude by showing that the Central Hankel Transform can uniquely describe the generalized Fibonacci sequence.
https://digitalcommons.colby.edu/clas/2015/program/345