Liouvillian solutions of the differential equation $y”+S(x)y=0$ with $S(x)$ binomial
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- by Minoru Setoyanagi PDF
- Proc. Amer. Math. Soc. 100 (1987), 607-612 Request permission
Abstract:
If a differential equation $y'' + (a{x^p} + b{x^q})y = 0$ with $p > q$ has a liouvillian solution, then $p$ is an even number $2m$ and the number $s = (m + 1)/(p - q)$ is an integer. The case $s = 2$ occurs only if $m = 1$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 607-612
- MSC: Primary 34C20; Secondary 34A10, 34A30
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894424-X
- MathSciNet review: 894424