Generalized Taylor series in hermitian Clifford analysis
Journal of Mathematical Analysis and Applications(2015)
Abstract
An orthogonal Appell basis of homogeneous polynomials is constructed for the Bergman space of square-integrable hermitian monogenic functions in the unit ball of Cn, with values in a homogeneous subspace of spinor space. This construction then leads to a generalized Taylor series expansion for spherical monogenics.
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Key words
Hermitian monogenic function,Orthogonal basis,Appell property,Taylor series
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