Growth properties of entire functions depending on a parameter

Stefan Halvarsson

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 1, page 71-96
  • ISSN: 0066-2216

Abstract

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We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.

How to cite

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Stefan Halvarsson. "Growth properties of entire functions depending on a parameter." Annales Polonici Mathematici 64.1 (1996): 71-96. <http://eudml.org/doc/270029>.

@article{StefanHalvarsson1996,
abstract = {We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.},
author = {Stefan Halvarsson},
journal = {Annales Polonici Mathematici},
keywords = {entire function; holomorphic function; relative order; Fenchel transformation; growth function},
language = {eng},
number = {1},
pages = {71-96},
title = {Growth properties of entire functions depending on a parameter},
url = {http://eudml.org/doc/270029},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Stefan Halvarsson
TI - Growth properties of entire functions depending on a parameter
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 1
SP - 71
EP - 96
AB - We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.
LA - eng
KW - entire function; holomorphic function; relative order; Fenchel transformation; growth function
UR - http://eudml.org/doc/270029
ER -

References

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  10. [10] P. Lelong, Fonctionnelles analytiques et fonctions entières (n variables), Cours d'été de Montréal 1967, Les Presses de l'Université de Montréal, 1968. 
  11. [11] P. Lelong, Plurisubharmonic Functions and Positive Differential Forms, Gordon and Breach, 1968. 
  12. [12] R. T. Rockafellar, Convex Analysis, Princeton Univ. Press, Princeton, N.J., 1970. Zbl0193.18401
  13. [13] W. Rudin, Real and Complex Analysis, McGraw-Hill, 1987. Zbl0925.00005
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  15. [15] D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc. 69 (1963), 411-414. Zbl0109.30104

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