Generalized Taylor series in hermitian Clifford analysis

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 C^n, with values in a homogeneous subspace of spinor space. This construction then leads to a generalized Taylor series expansion for spherical monogenics.

Keywords

• Hermitian monogenic function
• Orthogonal basis
• Appell property
• Taylor series