Linear differential equations with exceptional fundamental sets. II
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- by Norbert Steinmetz PDF
- Proc. Amer. Math. Soc. 117 (1993), 355-358 Request permission
Abstract:
We prove a sharp order estimate for entire functions of completely regular growth, whose zeros are distributed near finitely many rays $\arg z = {\omega _j}$ in terms of the angles ${\omega _j}$. This result then leads immediately to a proof of a conjecture of Hellerstein and Rossi concerning the distribution of zeros of the solutions of linear differential equations with polynomials coefficients.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 355-358
- MSC: Primary 34A20; Secondary 30D35, 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1081702-X
- MathSciNet review: 1081702