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- W4300386172 abstract "In this paper we aim at constructing a sequence ${mathsf{M}_n^k(x)}_{nge0}$ of $mathbb R_{0,m}$-valued polynomials which are monogenic in $mathbb R^{m+1}$ satisfying the Appell condition (i.e. the hypercomplex derivative of each polynomial in the sequence equals, up to a multiplicative constant, its preceding term) but whose first term $mathsf{M}_0^k(x)=mathbf{P}_k(underline x)$ is a $mathbb R_{0,m}$-valued homogeneous monogenic polynomial in $mathbb R^m$ of degree $k$ and not a constant like in the classical case. The connection of this sequence with the so-called Fueter's theorem will also be discussed." @default.
- W4300386172 created "2022-10-03" @default.
- W4300386172 creator A5070739741 @default.
- W4300386172 date "2011-02-09" @default.
- W4300386172 modified "2023-09-27" @default.
- W4300386172 title "On a sequence of monogenic polynomials satisfying the Appell condition whose first term is a non-constant function" @default.
- W4300386172 doi "https://doi.org/10.48550/arxiv.1102.1833" @default.
- W4300386172 hasPublicationYear "2011" @default.
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