Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Linear differential equations with exceptional fundamental sets. II


Author: Norbert Steinmetz
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34A20, 30D35, 34C10

Retrieve articles in all journals with MSC: 34A20, 30D35, 34C10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1081702-X
Article copyright: © Copyright 1993 American Mathematical Society