Search

Author:

Langharst, Dylan Jacob

Title:

Theory, Methods and Applications of the Classical Hypergeometric Orthogonal Polynomial Sequences of Sheffer and Jacobi

Area of Honors:

Mathematics (Behrend)

Keywords:

orthogonal polynomial sequences
classical analysis
Legendre
Hermite
Laguerre
inverse method
jacobi polynomials
sheffer polynomials
hypergeometric functions
three-term recursion relation
Schrödinger form
generating function
Chebyshev
numerical analysis
Fibonacci sequence

File:

Download Dylan_Langharst_thesis_orthogonal.pdf

Thesis Supervisors:

Daniel Joseph Galiffa, Thesis Supervisor
Daniel Joseph Galiffa, Thesis Honors Advisor
Chuck Yeung, Faculty Reader
Boon W Ong, Faculty Reader