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Subharmonic functions that are harmonic when they are large

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Publication:461369
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DOI10.1007/s13324-014-0077-xzbMath1302.30031OpenAlexW2030874792MaRDI QIDQ461369

John Rossi, Peter C. Fenton

Publication date: 10 October 2014

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

Full work available at URL: https://doi.org/10.1007/s13324-014-0077-x


zbMATH Keywords

entire functionsharmonic functionssubharmonic functionslower growth conditionWiman-Valiron discs


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Special classes of entire functions of one complex variable and growth estimates (30D15)


Related Items (1)

A non-power series approach to Wiman-Valiron type theorems



Cites Work

  • Unnamed Item
  • Dynamics of meromorphic functions with direct or logarithmic singularities
  • The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
  • On the Best Constant for the Besicovitch Covering Theorem
  • WIMAN'S METHOD AND THE ‘FLAT REGIONS’ OF INTEGRAL FUNCTIONS
  • AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
  • Uniqueness theorems and uniqueness polynomials for holomorphic curves
  • Approximation of subharmonic functions


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