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Spirallike Functions with Respect to a Boundary Point

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Book cover Linearization Models for Complex Dynamical Systems

Part of the book series: Operator Theory: Advances and Applications ((LOLS,volume 208))

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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.

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Shoikhet, D., Elin, M. (2010). Spirallike Functions with Respect to a Boundary Point. In: Linearization Models for Complex Dynamical Systems. Operator Theory: Advances and Applications, vol 208. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0509-0_4

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