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Spirallike Functions with Respect to a Boundary Point

  • David Shoikhet
  • Mark Elin
Chapter
  • 576 Downloads
Part of the Operator Theory: Advances and Applications book series (OT, volume 208)

Abstract

In this chapter, we introduce the class of spirallike functions with respect to a boundary point. It turns out that, in fact, each such function is a complex power of a starlike function with respect to a boundary point. So, what we studied in the previous chapter forms the base for our present considerations. We start by looking at the images of spirallike functions with respect to a boundary point, i.e., spirallike domains, the boundary of which contains the origin.

Keywords

Holomorphic Function Boundary Point Univalent Function Connected Domain Open Unit Disk 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • David Shoikhet
    • 1
  • Mark Elin
    • 1
  1. 1.Department of MathematicsORT Braude CollegeKarmielIsrael

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