Constructive Orthonormalisation of Monogenic Polynomials on a Finite Cylinder

DOI10.1007/978-3-030-23854-4_11zbMath1442.30050OpenAlexW2981278790WikidataQ122661488 ScholiaQ122661488MaRDI QIDQ5115039

Dmitrii Legatiuk, Sebastian Bock

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23854-4_11

zbMATH Keywords

Appell polynomialsmonogenic functionsfinite cylinderconstructive orthonormalisation

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis
• On monogenic series expansions with applications to linear elasticity
• Orthogonal Appell systems of monogenic functions in the cylinder
• On a three dimensional analogue to the holomorphicz-powers: power series and recurrence formulae
• Generalized holomorphic orthogonal function systems over infinite cylinders
• A hypercomplex derivative of monogenic functsions in and its Applications
• On a generalized Appell system and monogenic power series

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