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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

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Topics in special functions. II
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by G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen
Conform. Geom. Dyn. 11 (2007), 250-270
DOI: https://doi.org/10.1090/S1088-4173-07-00168-3
Published electronically: November 8, 2007

Abstract:

In geometric function theory, conformally invariant extremal problems often have expressions in terms of special functions. Such problems occur, for instance, in the study of change of euclidean and noneuclidean distances under quasiconformal mappings. This fact has led to many new results on special functions. Our goal is to provide a survey of such results.
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Bibliographic Information
  • G. D. Anderson
  • Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
  • Email: anderson@math.msu.edu
  • M. K. Vamanamurthy
  • Affiliation: Department of Mathematics, University of Auckland, Auckland, New Zealand
  • Email: vamanamu@math.auckland.nz
  • M. Vuorinen
  • Affiliation: Department of Mathematics, FIN-00014, University of Turku, Finland
  • MR Author ID: 179630
  • Email: vuorinen@utu.fi
  • Received by editor(s): March 30, 2007
  • Published electronically: November 8, 2007
  • Additional Notes: The authors thank the Finnish Mathematical Society, the Finnish Academy of Sciences, and the Academy of Finland (grant no. 107317) for their support of this research.

  • Dedicated: Dedicated to Seppo Rickman and Jussi Väisälä.
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 11 (2007), 250-270
  • MSC (2000): Primary 30C62; Secondary 33E05, 33E99
  • DOI: https://doi.org/10.1090/S1088-4173-07-00168-3
  • MathSciNet review: 2354098