External ellipsoidal harmonics for the Dunkl-Laplacian.
Volkmer, Hans (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Liouville theorem for Dunkl polyharmonic functions.”
External ellipsoidal harmonics for the Dunkl-Laplacian.
Generalized ellipsoidal and sphero-conal harmonics.
Volkmer, Hans (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Imaginary powers of the Dunkl harmonic oscillator.
Nowak, Adam, Stempak, Krzysztof (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Sălăgean-type harmonic multivalent functions.
Jahangiri, Jay M., Şeker, Bilal, Eker, Sevtap Sümer (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Trace theorems in harmonic function spaces on , multipliers theorems and related problems
Miloš Arsenović, Romi F. Shamoyan (2011)
Kragujevac Journal of Mathematics
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A class of multivalent harmonic functions involving a generalized Ruscheweyh type operator
Waggas Galib Atshan, S. R. Kulkarni, R. K. Raina (2008)
Matematički Vesnik
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Radial limits of superharmonic functions in the plane
D. Armitage (1994)
Colloquium Mathematicae
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Fischer decompositions in Euclidean and Hermitean Clifford analysis
Freddy Brackx, Hennie de Schepper, Vladimír Souček (2010)
Archivum Mathematicum
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Euclidean Clifford analysis is a higher dimensional function theory studying so–called monogenic functions, i.e. null solutions of the rotation invariant, vector valued, first order Dirac operator . In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure on Euclidean space and a corresponding second Dirac operator , leading to the system of equations expressing so-called Hermitean monogenicity. The invariance...
A note on non-negative singular infinity-harmonic functions in the half-space.
Tilak Bhattacharya (2005)
Revista Matemática Complutense
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.