Recent Preprints of Aimo Hinkkanen


The preprints available here may differ from the final published version.

Aimo Hinkkanen and Ilpo Laine, Order of growth of Painleve transcendents, pp. 72-77 in Complex Analysis and Applications, ed. by Yuefei Wang, Shangjian Wu, Hasi Wulan and Lo Yang, Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Shantou University, China, 2005, World Scientific, 2006. pdf

J.M. Anderson and Aimo Hinkkanen, Quasiconformal maps and substantial boundary points, submitted for publication. pdf

Aimo Hinkkanen, Majorisation of analytic functions, an extended abstract for a meeting at Oberwolfach in February 2007. Also contained in Oberwolfach Report No. 9/2007. pdf

Aimo Hinkkanen, Majorization of analytic functions, Scientific Bulletin of Chelm, Section of Mathematics and Computer Science, No. 2 (2007), 25-30. (proceedings of the XIV Conference on Analytic Functions, Chelm, Poland, 2007) pdf

Aimo Hinkkanen, Majorization of the Modulus of Continuity of Analytic Functions, Computational Methods and Function Theory 8 (2008), No. 2, 303-325. pdf

Aimo Hinkkanen, Entire functions with bounded Fatou components, Transcendental Dynamics and Complex Analysis, Cambridge University Press, 2008, pp. 187-216. pdf

W.K. Hayman and Aimo Hinkkanen, Generalisations of uniformly normal families, Transcendental Dynamics and Complex Analysis, Cambridge University Press, 2008, pp. 179-186. pdf

Aimo Hinkkanen and Joe Miles, Growth conditions for entire functions with only bounded Fatou components, to appear in Journal d'Analyse Mathematique. pdf



Aimo Hinkkanen, On the norm of the Beurling-Ahlfors transformation. This is a tentative draft that will be updated from time to time.

Version of December 28, 2007. pdf

Version of February 19, 2008. pdf

Summary of changes from first version to second version and comments on dimension 4. pdf


Aimo Hinkkanen, Growth conditions for analytic functions in unbounded open sets, to appear in Complex Variables and Elliptic Equations. pdf