On a three-dimensional analogue to the holomorphicz-powers: Laurent series expansions

DOI10.1080/17476933.2010.534792zbMath1255.30049OpenAlexW2041774814MaRDI QIDQ3145027

Sebastian Bock

Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1080/17476933.2010.534792

zbMATH Keywords

Laurent series expansioncomplete orthonormal systemsquaternion-valued functionsouter solid spherical monogenics

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (9)

On a class of monogenic functions with (logarithmic) line singularities ⋮ Special classes of monogenic functions in \(\mathbb {H}\) ⋮ Recent Progress on Spheroidal Monogenic Functions ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ On a Hypercomplex Version of the Kelvin Solution in Linear Elasticity ⋮ On orthogonal monogenics in oblate spheroidal domains and recurrence formulae ⋮ On monogenic series expansions with applications to linear elasticity ⋮ A generalized monogenic exponential function in ℍ ⋮ On a three dimensional analogue to the holomorphicz-powers: power series and recurrence formulae

Cites Work

• On Appell sets and the Fueter-Sce mapping
• Quaternionic analysis
• Taylor and laurent series on the sphere
• A hypercomplex derivative of monogenic functsions in and its Applications
• Generalized Exponentials through Appell sets in R[sup n+1 and Bessel functions]
• Special Monogenic Polynomials—Properties and Applications

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