Some properties of holomorphic Cliffordian functions in complex Clifford analysis

DOI10.1016/S0252-9602(10)60076-8zbMath1240.22009OpenAlexW1990525194MaRDI QIDQ551365

Min Ku, Dao-Shun Wang, Jinyuan Du

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60076-8

zbMATH Keywords

invarianceTaylor expansionLaurent expansioncomplex Clifford algebraholomorphic Cliffordian functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on real and complex Lie groups (22E30) Pluriharmonic and plurisubharmonic functions (31C10) Holomorphic functions of several complex variables (32A10)

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Some properties of a T operator with B-m kernel in the complex Clifford analysis ⋮ On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis ⋮ Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis ⋮ Half Dirichlet problem for matrix functions on the unit ball in Hermitian Clifford analysis ⋮ Riemann boundary value problems on the sphere in Clifford analysis ⋮ Cauchy integral formula on the distinguished boundary with values in complex universal Clifford algebra ⋮ A new Cauchy integral formula in the complex Clifford analysis ⋮ Riemann-Hilbert problems for poly-Hardy space on the unit ball ⋮ Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis ⋮ Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis

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