Second order differential equations with rational coefficients
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- by A. Hinkkanen and John Rossi PDF
- Proc. Amer. Math. Soc. 106 (1989), 667-678 Request permission
Abstract:
The authors exhibit two linearly independent real solutions, ${f_1}$ and ${f_2}$, to $w'' + Hw = 0$ such that ${f_1}{f_2}$ is transcendental, ${f_1}$ and ${f_2}$ have only real zeros and poles and $H$ is a nonconstant rational function. This shows the sharpness of a recent result of Hellerstein and Rossi. Some related results are also proved.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 667-678
- MSC: Primary 34A20; Secondary 30D05, 30D35
- DOI: https://doi.org/10.1090/S0002-9939-1989-0948151-2
- MathSciNet review: 948151