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Functions of One Complex Variable Special Part

  • George Pólya
  • Gabor Szegö
Part of the Springer Study Edition book series (SSE)

Abstract

[For 1–76 cf. A. Wiman: Acta Math. 37, pp. 305–326 (1914). There is additional material in G. Valiron: General Theory of Integral Functions. Toulouse: É. Privat 1923 and in R. P. Boas: Entire Functions. New York: Academic Press 1954. Cf. also references given for I 110.] We are concerned with the maximum of the sequence
$$ 1,\quad \frac{r} {1},\quad \frac{r} {1}\frac{r} {2},\quad \frac{r} {1}\frac{r} {2}\frac{r} {3},\quad \cdots ,\frac{r} {1}\frac{r} {2} \cdots \frac{r} {n},\quad \cdots $$

Keywords

Unit Circle Entire Function Boundary Point Finite Order Equality Sign 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • George Pólya
    • 1
  • Gabor Szegö
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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