On operators and elementary functions in Clifford analysis

DOI10.4171/ZAA/886zbMath0962.30026MaRDI QIDQ1301256

W. Sprössing

Publication date: 4 June 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48748

zbMATH Keywords

Cauchy-Fueter operatorClifford analysiselementary functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (10)

Newton method in the context of quaternion analysis ⋮ Shifted Appell sequences in Clifford analysis ⋮ Clifford-valued fractal interpolation ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Hypercomplex iterated function systems ⋮ Slice Regularity and Harmonicity on Clifford Algebras ⋮ On a generalization of Fueter's theorem ⋮ Laguerre derivative and monogenic Laguerre polynomials: an operational approach ⋮ Logarithmic derivative of the Euler \(\Gamma\)-function in Clifford analysis ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis

Cites Work

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• Special functions in Clifford analysis and axial symmetry
• Axial monogenic functions from holomorphic functions
• Generalization of Fueter's result to \(\mathbb{R}^{n+1}\)
• Analytische Funktionen einer Quaternionenvariablen
• Clifford analysis, biaxial symmetry and pseudoanalytic functions
• A product and an exponential function in hypercomplex function theory
• Modified clifford analysis
• Modified quaternionic analysis in
• Quaternionic analysis
• Axially symmetric vector fields and their complex potentials

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