Cube group invariant spherical harmonics and Krawtchouk polynomials

DOI10.1007/BF01219088zbMath0445.33013MaRDI QIDQ1145269

Charles F. Dunkl

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173084

zbMATH Keywords

spherical harmonicsKrawtchouk polynomials

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Spherical harmonics (33C55)

Related Items

Orthogonal Polynomials on the Sphere with Octahedral Symmetry, New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry, The stretch of a foliation and geometric superrigidity, Determination of point group harmonics for arbitrary j by a projection method. I. Cubic group, quantization along an axis of order 4, Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions

Cites Work

• Partial difference equations in \(m_1\geq m_2\geq \dots \geq m_n\geq 0\) and their applications to combinatorics
• Invariants of finite groups and their applications to combinatorics
• Quadratures on a sphere
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