A Phragmén - Lindelöf principle for slice regular functions

Details A Phragmén - Lindelöf principle for slice regular functions A Phragmén - Lindelöf principle for slice regular functions

2009-01-20

arxiv.org/abs/0901.2967v1

Bull. Belg. Math. Soc. Simon Stevin, 18(4): 749--759 (2011)

Mathematics

Complex Variables

10 pages

Scientific paper

The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent papers there has been a resurgence of interest in principles of this type for functions of a hypercomplex variable and for solutions of suitable partial differential equations. In the present article we obtain a Phragmen-Lindelof principle for slice regular functions, a class of quaternion-valued functions of a quaternionic variable which has been recently introduced.

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