Computing the Minkowski Value of the Exponential Function over a Complex Disk

Authors:
Hyeong In Choi;Rida T. Farouki;Chang Yong Han;Hwan Pyo Moon
Affiliations:
Department of Mathematics, Seoul National University, Seoul, South Korea 151---747;Department of Mechanical and Aeronautical Engineering, University of California, Davis, USA 95616;School of Electronics and Information, Kyung Hee University, South Korea 446---701;Department of Mathematics, Seoul National University, Seoul, South Korea 151---747
Venue:
Computer Mathematics
Year:
2008

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Abstract

Basic concepts, results, and applications of the Minkowski geometric algebra of complex sets are briefly reviewed, and preliminary ideas on its extension to evaluating transcendental functions of complex sets are discussed. Specifically, the Minkowski value of the exponential function over a disk in the complex plane is considered, as the limit of partial---sum sets defined by the monomial or Horner evaluation schemes.