Construction of a differential equation $y”+Ay=0$ with solutions having the prescribed zeros
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- by Li-Chien Shen
- Proc. Amer. Math. Soc. 95 (1985), 544-546
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810160-8
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Abstract:
We show that an entire function $A(z)$ can be constructed so that the differential equation $y'' + Ay = 0$ has two linearly independent solutions having the prescribed points as their only zeros.References
- Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto-London, 1966. MR 0210528
Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 544-546
- MSC: Primary 34A20; Secondary 30D20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810160-8
- MathSciNet review: 810160