Remarks on the representation of zero by solutions of differential equations
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- by Jet Wimp and David Colton PDF
- Proc. Amer. Math. Soc. 74 (1979), 232-234 Request permission
Abstract:
Numerical evidence from certain problems arising in optics seems to indicate Fourier-Bessel series which converge to zero in $(1 - \delta ,1]$ also converge to zero in $[1,1 + \delta )$, 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.References
- B. Ja. Levin, Distribution of zeros of entire functions, American Mathematical Society, Providence, R.I., 1964. MR 0156975 P. Wiersma, The realization of circularly symmetric positive filter functions by transparent rings, Technical Report, Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands, 1978.
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 232-234
- MSC: Primary 34B25; Secondary 33A40
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524292-2
- MathSciNet review: 524292