B. J. Harris
We study the linear second-order differential equation
where, amongst other conditions, . We obtain a convergent series expansion for the spectral function which is valid for small values of . We also derive an asymptotic representation.
Submitted July 9, 2012. Published January 21, 2013.
Math Subject Classifications: 34E05.
Key Words: Sturm Liouville equation; spectral function; small eigenparameter.
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| Bernie J. Harris |
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115-2888, USA
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