Integral on transcomplex numbersdos Reis, T. S. and Anderson, J. (2019) Integral on transcomplex numbers. In: World Congress on Engineering 2019, 3-5 July 2019, London, UK, pp. 90-94. (ISBN 9789881404862)
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Official URL: http://www.iaeng.org/publication/WCE2019/ Abstract/SummaryThe usual complex integral is defined in terms of complex numbers in Cartesian form but transcomplex numbers are defined in polar form and almost all transcomplex numbers, with infinite magnitude, have no Cartesian form. However, there are eight infinite, transcomplex numbers which do have a Cartesian form and these can be used to define the transcomplex integral as the limit of sums of these eight numbers. Thus we introduce the transcomplex integral.
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