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Small entire functions with extremely fast growth

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Publication:1353790
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DOI10.1006/jmaa.1997.5312zbMath0872.30022OpenAlexW1968540744MaRDI QIDQ1353790

Luis Bernal-González

Publication date: 15 October 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5312


zbMATH Keywords

entire functions


Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Asymptotic representations in the complex plane (30E15)


Related Items

Lineability criteria, with applications ⋮ Small entire functions with infinite growth index ⋮ Linear subsets of nonlinear sets in topological vector spaces



Cites Work

  • Relative growth order of entire functions
  • A lot of ``counterexamples to Liouville's theorem
  • Arakelian's Approximation Theorem
  • On the rate of growth of entire functions of fast growth
  • Uniqueness and Nonuniqueness for the Radon Transform
  • An Entire Function Bounded in Every Direction
  • A Non-Constant Continuous Function on the Plane Whose Integral on Every Line Is Zero
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