Abstract
This chapter contains the definition and some basic results on slice regular functions. In particular, we discuss the subclass of slice regular intrinsic functions which possess additional properties. This subclass contains the transcendental functions like the quaternionic exponential, sine and cosine. We also introduce a suitable multiplication and a notion of composition which preserve slice regularity.
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Colombo, F., Sabadini, I., Struppa, D.C. (2016). Slice Regular Functions: Algebra. In: Entire Slice Regular Functions. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-49265-0_2
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DOI: https://doi.org/10.1007/978-3-319-49265-0_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49264-3
Online ISBN: 978-3-319-49265-0
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