Journal article
Remarks on the representation of zero by solutions of differential equations
Proceedings of the American Mathematical Society, v 74(2)
01 Jan 1979
Abstract
Numerical evidence from certain problems arising in optics seems to indicate Fourier-Bessel series which converge to zero in
(
1
−
δ
,
1
]
(1 - \delta ,1]
also converge to zero in
[
1
,
1
+
δ
)
[1,1 + \delta )
, an interval which lies outside the range of orthogonality of the Bessel functions. Here we demonstrate this as a corollary of a result on series of functions which satisfy a general Sturm-Liouville equation.
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Details
- Title
- Remarks on the representation of zero by solutions of differential equations
- Creators
- Jet WimpDavid Colton
- Publication Details
- Proceedings of the American Mathematical Society, v 74(2)
- Publisher
- American Mathematical Society
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1979GV96200007
- Scopus ID
- 2-s2.0-84966218546
- Other Identifier
- 991019312448704721