Abstract
In this paper we present a new integral formulas for hypermonogenic functions where the kernels are also hypermonogenic functions. We also introduce dual k-hypermonogenic functions. If k = 0, then k-hypermonogenic functions are monogenic functions and their dual functions are also monogenic. If k is nonzero the only function that is k-hypermonogenic function and dual hypermogenic is zero function.
The theory of dual functions is very similar to the theory of hypermonogenic functions. We present their integral formula and use it to present the integral formula for (1 − n)-hypermonogenic functions.
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Eriksson, SL. (2008). Hypermonogenic functions and their dual functions. In: Sabadini, I., Shapiro, M., Sommen, F. (eds) Hypercomplex Analysis. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9893-4_9
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DOI: https://doi.org/10.1007/978-3-7643-9893-4_9
Publisher Name: Birkhäuser Basel
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