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arXiv · 0901.2967

A Phragm\'en - Lindel\"of principle for slice regular functions

G. Gentili·C. Stoppato·D. C. Struppa
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Abstract

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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G. Gentili, C. Stoppato, D. C. Struppa. 2009-01-20. A Phragm\'en - Lindel\"of principle for slice regular functions. https://doi.org/10.36045/bbms%2F1320763135

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