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More Eventual Positivity for Analytic Functions

  Published:2003-10-01
 Printed: Oct 2003
  • David Handelman
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Abstract

Eventual positivity problems for real convergent Maclaurin series lead to density questions for sets of harmonic functions. These are solved for large classes of series, and in so doing, asymptotic estimates are obtained for the values of the series near the radius of convergence and for the coefficients of convolution powers.
MSC Classifications: 30B10, 30D15, 30C50, 13A99, 41A58, 42A16 show english descriptions Power series (including lacunary series)
Special classes of entire functions and growth estimates
Coefficient problems for univalent and multivalent functions
None of the above, but in this section
Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30}
30B10 - Power series (including lacunary series)
30D15 - Special classes of entire functions and growth estimates
30C50 - Coefficient problems for univalent and multivalent functions
13A99 - None of the above, but in this section
41A58 - Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
42A16 - Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30}
 

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