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Title of Journal: Monatsh Math

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Abbravation: Monatshefte für Mathematik

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Springer Vienna

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DOI

10.1007/s10257-013-0216-1

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1436-5081

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Löwner chains with complex leading coefficient

Authors: Ikkei Hotta
Publish Date: 2010/02/18
Volume: 163, Issue: 3, Pages: 315-325
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Abstract

In this paper we confirm that several crucial theorems due to Pommerenke and Becker for the theory of Löwner chains work well without normalization on the complexvalued first coefficient As applications of those considerations some new univalent and quasiconformal extension criteria are given in the last section

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  1. A central limit theorem for integer partitions
  2. Fully commutative elements in finite and affine Coxeter groups
  3. On semi-rational finite simple groups
  4. Integer-valued polynomials over matrices and divided differences
  5. On mean values of multiplicative functions on the symmetric group
  6. Simple exceptional groups of Lie type are determined by their character degrees
  7. On a functional equation related to derivations in prime rings
  8. Ricci solitons and odd-dimensional spheres
  9. Regularity properties of distributions through sequences of functions
  10. An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic n -manifolds
  11. Operations with monotone operators and the monotonicity of the resulting operators
  12. Normal families of meromorphic functions and shared values
  13. Some New Results on the Chu Duality of Discrete Groups
  14. Cauchy integral and singular integral operator over closed Jordan curves
  15. The zero-free region of the derivative of Selberg zeta functions
  16. A note on Engel words of finite groups
  17. Equivalence of plurisubharmonic singularities and Siu-type metrics
  18. Palindromic Prefixes and Diophantine Approximation
  19. Effective uniqueness of Parry measure and exceptional sets in ergodic theory
  20. On matrix valued square integrable positive definite functions
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