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.
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Choi, H.I., Farouki, R.T., Han, C.Y., Moon, H.P. (2008). Computing the Minkowski Value of the Exponential Function over a Complex Disk. In: Kapur, D. (eds) Computer Mathematics. ASCM 2007. Lecture Notes in Computer Science(), vol 5081. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87827-8_1
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