Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3

zbMath1249.30136arXiv1003.5587MaRDI QIDQ2883538

Roman Lávička

Publication date: 11 May 2012

Full work available at URL: https://arxiv.org/abs/1003.5587

zbMATH Keywords

orthogonal basisLegendre polynomialsspherical monogenics\(\mathfrak {sl}(2,\mathbb {C})\)-module

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (22)

Three-term recurrence relations for systems of Clifford algebra-valued orthogonal polynomials ⋮ Finding mixed families of special polynomials associated with Appell sequences ⋮ Monogenic pseudo-complex power functions and their applications ⋮ Shifted Appell sequences in Clifford analysis ⋮ Special classes of monogenic functions in \(\mathbb {H}\) ⋮ Complete orthogonal Appell systems for spherical monogenics ⋮ On paravector valued homogeneous monogenic polynomials with binomial expansion ⋮ Matrix representations of a special polynomial sequence in arbitrary dimension ⋮ FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ Differential and integral equations for the 2-iterated Bernoulli, 2-iterated Euler and Bernoulli-Euler polynomials ⋮ Embedding factors for branching in Hermitian Clifford analysis ⋮ Laguerre derivative and monogenic Laguerre polynomials: an operational approach ⋮ Extended forms of certain hybrid special polynomials related to Appell sequences ⋮ q-difference equations for the composite 2D q-Appell polynomials and their applications ⋮ A matrix recurrence for systems of Clifford algebra-valued orthogonal polynomials ⋮ Generating functions for spherical harmonics and spherical monogenics ⋮ Unnamed Item ⋮ Generalized Taylor series in hermitian Clifford analysis ⋮ Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis ⋮ The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces ⋮ Certain results of hybrid families of special polynomials associated with appell sequences

This page was built for publication: Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3