Four types of special functions of G 2 and their discretization

@article{Szajewska2012FourTO,
  title={Four types of special functions of G 2 and their discretization},
  author={M. Szajewska},
  journal={Integral Transforms and Special Functions},
  year={2012},
  volume={23},
  pages={455 - 472}
}
  • M. Szajewska
  • Published 2012
  • Mathematics, Physics
  • Integral Transforms and Special Functions
Properties of four infinite families of special functions of two real variables, based on the compact simple Lie group G 2, are compared and described. Two of the four families (called here C- and S-functions) are well known. New results of the paper are in description of two new families of G 2-functions not found in the literature. They are denoted as S L - and S S -functions. It is shown that all four families have analogous useful properties. In particular, they are orthogonal when… Expand
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