Motivated by the study of symmetry breaking operators for indefinite orthogonal groups, we give a Gegenbauer expansion of the two variable function | s - t |α in terms of the ultraspherical polynomials Cλ (s) and Cμm (t). Generalization, specialization, and limits of the expansion are also discussed.
[ DOI | arXiv | full text(pdf) ]
© Toshiyuki Kobayashi