Special functions and systems in Hermitian Clifford analysis

DOI10.1002/MMA.2702zbMath1323.30068arXiv1205.5352OpenAlexW2591754835MaRDI QIDQ2846217

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Publication date: 5 September 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5352

zbMATH Keywords

Laguerre polynomialsBessel functionsHermitian Clifford analysisCauchy-Kowalevski extension

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Polynomial solutions of the Hermitian submonogenic system ⋮ A Cauchy kernel for the Hermitian submonogenic system ⋮ Special functions and systems in Hermitian Clifford analysis: Higher codimension

Cites Work

• The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
• The Hermitian Clifford analysis toolbox
• Special functions in Clifford analysis and axial symmetry
• Hermitean Clifford-Hermite polynomials
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• Applied Pseudoanalytic Function Theory
• Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution
• Hermitian Clifford analysis and resolutions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations
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