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Special functions and systems in Hermitian Clifford analysis
Author(s) -
Schepper Nele De,
Peña Dixan Peña,
Sommen Frank
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2702
Subject(s) - hermitian matrix , clifford analysis , mathematics , hermite polynomials , bessel function , algebra over a field , dirac (video compression format) , clifford algebra , pure mathematics , bessel polynomials , hermitian function , mathematical analysis , jacobi polynomials , orthogonal polynomials , wilson polynomials , physics , dirac operator , quantum mechanics , neutrino
In this paper, we study some new special functions that arise naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac‐like systems in several complex variables. In particular, we focus on Hermite polynomials, Bessel functions, and generalized powers. We also derive a Vekua system for solutions of Hermitian systems in axially symmetric domains. Copyright © 2012 John Wiley & Sons, Ltd.