Thesis-1974-Hamza.pdf (4.15 MB)
Properties of Bessel polynomials
thesis
posted on 2018-07-05, 10:45 authored by Abdel A.M. HamzaThe purpose of the thesis is to develop a range of properties of
Bessel polynomials similar to those developed for the classical polynomials
of Jacobi, Hermite and Laguere,
In the first chapter the Bessel polynomials are defined and existing
background theory is dealt with. Some new results concerning expansion,
characterization and orthogonality are given. The second chapter is almost
completely new work concerned with generating functions and recurrence
relations. Similarly in chapter three a number of integrals involving
Bessel polynomials are derived. Chapter four treats the question of
integral transformations involving Bessel polynomials and, in particular,
the transforms of Laplace, Hankel, Fourier and Riemann-Liouville are
investigated in detail. The final chapter (v) looks at Bessel polynomials
in two variables giving their definition and briefly discussing some of
their properties.
History
School
- Science
Department
- Mathematical Sciences
Publisher
© Abdel Aziz Mahmoud HamzaPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
1974Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.Language
- en