Classification of Baker domains of meromorphic functions

Abstract: First we introduce the definition of Baker domain of a meromorphic function, an absorbing domain of a Baker domain and a classification of Baker domains with connectivity of its absorbing domain. Secondly we introduce a more carful classification of Baker domains according to characteristic of the M\"obius transformation which the function sem-conjugates on the Baker domain in question. Thirdly, we say criteria of Baker domain types. The talk mainly comes from a unpublished paper I finished one year ago.

complex variablesdynamical systems

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

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