More Eventual Positivity for Analytic Functions

  title={More Eventual Positivity for Analytic Functions},
  author={David E. Handelman},
  journal={Canadian Journal of Mathematics},
  pages={1019 - 1079}
  • D. Handelman
  • Published 1 October 2003
  • Mathematics
  • Canadian Journal of Mathematics
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. 

In praise of order units

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A Complete Bibliography of Publications in Canadian Journal of Mathematics = Journal canadien de mathématiques for the decade 1940–1949

33]. algebraic [5]. Angular [24]. Applications [30]. arbitrary [8]. associated [18]. Axiomatic [31]. between [27]. bounded [11, 14]. Boundedness [16]. Cayleyan [4]. certain [9]. characteristic [35].



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  • 1987

Recall that the monomial x belongs to R P if (for example) max k {(P, x k )/(P, x k+1

    When this is the case, define an invariant of P, called Ψ(P), via References