Quotients of solutions of linear algebraic differential equations
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- by Lee A. Rubel PDF
- Proc. Amer. Math. Soc. 113 (1991), 747-748 Request permission
Abstract:
An example is given of two entire functions $f,g$ that satisfy linear differential equations with polynomial coefficients, whose quotient $h = f/g$ is entire, yet $h$ satisfies no such differential equation.References
- C. Ward Henson, Lee A. Rubel, and Michael F. Singer, Algebraic properties of the ring of general exponential polynomials, Complex Variables Theory Appl. 13 (1989), no. 1-2, 1–20. MR 1029352, DOI 10.1080/17476938908814374
- J. F. Ritt, Algebraic combinations of exponentials, Trans. Amer. Math. Soc. 31 (1929), no. 4, 654–679. MR 1501505, DOI 10.1090/S0002-9947-1929-1501505-4
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 747-748
- MSC: Primary 34A20; Secondary 30D20
- DOI: https://doi.org/10.1090/S0002-9939-1991-1052579-1
- MathSciNet review: 1052579