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Three extremal problems for hyperbolically convex functions

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Publication:1880505
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DOI10.1007/BF03321058zbMath1057.30021MaRDI QIDQ1880505

Roger W. Barnard, G. Brock Williams, Kent Pearce

Publication date: 28 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)


zbMATH Keywords

extremal problemhyperbolically convex function


Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)


Related Items (3)

Numerical calculation of conformal mapping to a disk minus finitely many horocycles ⋮ Hyperbolically convex functions and the generalized Fekete-Szegö functional ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Subordination theorems for some classes of starlike functions
  • On hyperbolically convex functions
  • On spherically convex univalent functions
  • Distortion theorems for hyperbolically convex functions
  • Möbius transformations of convex mappings
  • Hyperbolically convex functions II
  • Hyperbolically convex functions
  • Hyperbolically Convex Functions, Dimension and Capacity
  • Some extremal problems on the hyperbolic polygons
  • A variational method for hyperbolically convex functions


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