On monogenic primitives of monogenic functions

DOI10.1080/17476930701399088zbMath1148.30027OpenAlexW2067074450MaRDI QIDQ5448718

Isabel Cação, Klaus Gürlebeck

Publication date: 7 March 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701399088

zbMATH Keywords

Clifford analysismonogenic polynomialsspherical monogenicscomplete orthonormal systemsholomorphic functions in space

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other functions coming from differential, difference and integral equations (33E30)

Related Items (7)

Shifted Appell sequences in Clifford analysis ⋮ Recent Progress on Spheroidal Monogenic Functions ⋮ Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae ⋮ On orthogonal monogenics in oblate spheroidal domains and recurrence formulae ⋮ On a generalized Appell system and monogenic power series ⋮ Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation ⋮ On a three dimensional analogue to the holomorphicz-powers: power series and recurrence formulae

Cites Work

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• On the treatment of fluid problems by methods of Clifford analysis
• On harmonic potential fields and the structure of monogenic functions
• Harmonic Function Theory
• Power series representation for monogenic functions in based on a permutational product
• On derivatives of spherical monogenics
• On primitives of monogenic functions
• Quaternionic analysis
• A hypercomplex derivative of monogenic functsions in and its Applications
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability

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