Liouvillian solutions of the differential equation with binomial

Author:
Minoru Setoyanagi

Journal:
Proc. Amer. Math. Soc. **100** (1987), 607-612

MSC:
Primary 34C20; Secondary 34A10, 34A30

MathSciNet review:
894424

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Abstract: If a differential equation with has a liouvillian solution, then is an even number and the number is an integer. The case occurs only if .

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0894424-X

Article copyright:
© Copyright 1987
American Mathematical Society