Back to results
Missouri University of Science and Technology
A harmonic M-factorial function and applications
Abstract
dc:description.abstract"We offer analogs to the falling factorial and rising factorial functions for the set of harmonic numbers, as well as a mixed factorial function called the M-factorial. From these concepts, we develop a harmonic analog of the binomial coefficient and an alternate expression of the harmonic exponential function and establish several identities. We generalize from the harmonic numbers to a general time scale and demonstrate how solutions to some second order eigenvalue problems and partial dynamic equations can be constructed using power series built from the M-factorial function"--Abstract, page iii.
Degree
thesis:*- Name thesis:degree_name
- Ph. D. in Mathematics
- Grantor
- Missouri University of Science and Technology
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Brigham, Reginald Alfred, II
Subjects
dc:subject × 6Identifiers
dc:identifier.*- Repository record dc:identifier
- https://scholarsmine.mst.edu/doctoral_dissertations/2557
- OAI identifier oai:identifier
- oai:scholarsmine.mst.edu:doctoral_dissertations-3562