Higher-order airy functions of the first kind and spectral properties of the massless relativistic quartic anharmonic oscillator

This thesis consists of two parts. In the first part, we study a class of special functions Aik (y), k = 2, 4, 6, · · · generalising the classical Airy function Ai(y) to higher orders and in the second part, we apply expressions and properties of Ai4(y) to spectral problem of a specific operator. Th...

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Bibliographic Details
Main Author: Samuel O. Durugo
Format: Default Thesis
Published: 2014
Subjects:
Other mathematical sciences not elsewhere classified
Higher-order airy functions
Anharmonic oscillator
Spectral analysis
Eigenvalues
Eigenfunctions
Analytic and asymptotic expansions
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/16497
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