Titlebook: Bicomplex Holomorphic Functions; The Algebra, Geometr M. Elena Luna-Elizarrarás,Michael Shapiro,Adrian V Book 2015 Springer International P

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Lines and curves in ,,In this section we will investigate the complex straight lines in . from both the algebraic and the geometric points of view. We will start by describing the wellknown case of real straight lines in .(i), which we use as reference for the case of complex and hyperbolic lines in ..

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Some Properties of Bicomplex Holomorphic Functions,In what follows, we investigate several properties of bicomplex holomorphic functions defined on a set Ω in ..

Credence

Introduction, in 1844, [36], [37]. Quaternions arise by considering three imaginary units, i, j, k that anticommute and such that ij = k. The beauty of the theory of quaternions is that they form a field, where all the customary operations can be accomplished. Their blemish, if one can use this word, is the loss

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The Bicomplex Numbers,ommuting imaginary units, i.e., .. Thus bicomplex numbers are “complex numbers with complex coefficients”, which explains the name of bicomplex, and in what follows we will try to emphasize the similarities between the properties of complex and bicomplex numbers. As one might expect, although the bi

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Second Order Complex and Hyperbolic Differential Operators,cial importance for the theories of both classes of functions. On the general level, the same occurs with hyperholomorphic (synonymously - monogenic, regular) functions of (real) Clifford analysis and the harmonic functions of the respective number of (real) variables. By this reason, both one compl

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