Abstract
For entire axially monogenic functions, which are monogenic in the whole space, the lower order and type are defined, as in the complex case, in terms of the maximum modulus of the functions and the Taylor coefficients. The study carried out in this paper bears certain novelty to the familiar literature concerning the Clifford valued functions.
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R. De Almeida was partial supported by FEDER founds through COMPETE—Operational Programme Factors of Competitiveness and by Portuguese founds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology, within project PEst-C/ MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690.
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Abul-Ez, M.A., De Almeida, R. On the Lower Order and Type of Entire Axially Monogenic Functions. Results. Math. 63, 1257–1275 (2013). https://doi.org/10.1007/s00025-012-0267-5
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DOI: https://doi.org/10.1007/s00025-012-0267-5