Title: Order Theory for Isolated Points of Monogenic Functions
Authors: Hempfling, Thomas
Krausshar, Rolf Sören # ×
Issue Date: 2003
Publisher: Birkhäuser Verlag
Series Title: Archiv der Mathematik vol:80 issue:4 pages:406-423
Abstract: In this paper we discuss problems related to the value distribution of some special meromorphic functions in Clifford analysis. With a generalized Argument principle we describe orders of isolated a-points of a monogenic function. We prove a generalized version of Rouche’s theorem. Further, we observe that the generalized elliptic functions in Clifford analysis play a special role with respect to value distributional questions. In particular, we discuss analogs to the classical Liouville theorems. The Argument principle will be exploited to show that the sum of the orders of all isolated a-points of a generalized elliptic function that has only isolated poles vanishes.
ISSN: 0003-889X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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