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  • In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics. Here spherical monogenics are polynomial solutions of the Dirac equation. In particular, we obtain the recurrence formula which expresses the generating function in dimension m in terms of that in dimension m-1. Hence we can find closed formul' of generating functions in by induction on the dimension m.
  • In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics. Here spherical monogenics are polynomial solutions of the Dirac equation. In particular, we obtain the recurrence formula which expresses the generating function in dimension m in terms of that in dimension m-1. Hence we can find closed formul' of generating functions in by induction on the dimension m. (en)
Title
  • Generating Functions for Spherical Harmonics and Spherical Monogenics
  • Generating Functions for Spherical Harmonics and Spherical Monogenics (en)
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  • Generating Functions for Spherical Harmonics and Spherical Monogenics
  • Generating Functions for Spherical Harmonics and Spherical Monogenics (en)
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  • RIV/00216208:11320/14:10287074!RIV15-MSM-11320___
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  • RIV/00216208:11320/14:10287074
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  • generating function; orthogonal basis; Gelfand-Tsetlin basis; spherical monogenics; Spherical harmonics (en)
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  • CH - Švýcarská konfederace
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  • Advances in Applied Clifford Algebras
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  • 24
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  • Lávička, Roman
  • Cerejeiras, P.
  • Kaehler, U.
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  • 000345098000008
issn
  • 0188-7009
number of pages
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  • 10.1007/s00006-014-0495-8
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  • 11320
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