Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On inequalities for zeros of entire functions

Author(s): M. I. Gil'
Journal: Proc. Amer. Math. Soc. 133 (2005), 97-101.
MSC (2000): Primary 30D20
Posted: June 2, 2004
MathSciNet review: 2085158
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Abstract | References | Similar articles | Additional information

Abstract: We derive inequalities for zeros of an entire function of finite order in terms of the coefficients of its Taylor series. Our results are new even for polynomials.

References:

1.: Diestel, D., Jarchow, H., Tonge, A., Absolutely Summing Operators, Cambridge University Press, Cambridge, 1995. MR 96i:46001
2.: Gil, M. I., Inequalities for imaginary parts of zeros of entire functions, Results in Mathematics, 37 (2000), 331-334. MR 2001a:30034
3.: Levin, B. Ya. Distribution of Zeros of Entire Functions, Amer. Math. Soc., Providence, R. I., 1980. MR 81k:30011
4.: Levin, B. Ya. Lectures on Entire Functions, Transl. of Math. Monographs, v. 150. Amer. Math. Soc., Providence, R. I., 1996.MR 97j:30001
5.: Pietsch, A. Eigenvalues and -Numbers, Cambridge University Press, Cambridge, 1987. MR 88j:47022b

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