Abstract
The aim of this paper is to introduce a general framework which can be used to generalize both Appell sets in multivariate analysis and special polynomials in a complex variable \( z \in \mathbb{C}, \) inspired by certain special functions appearing in harmonic and Clifford analysis on \( \mathbb{R}^{m}, \). As an illustration, we have a closer look at Hermite polynomials.
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Mathematics Subject Classification (2010). 30G35; 17B10; 33C45.
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© 2014 Springer International Publishing Switzerland
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Eelbode, D., Verhulst, N. (2014). On Appell Sets and Verma Modules for \( \mathfrak{sl} \)(2). In: Bernstein, S., Kähler, U., Sabadini, I., Sommen, F. (eds) Hypercomplex Analysis: New Perspectives and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-08771-9_7
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DOI: https://doi.org/10.1007/978-3-319-08771-9_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-08770-2
Online ISBN: 978-3-319-08771-9
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