30 research outputs found
A binomial-coefficient identity arising from the middle discrete series of SU(2,2)
The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials
Matrix coefficients of the middle discrete series of SU(2,2) II, the explicit asymptotic expansion
AbstractWe obtain the explicit asymptotic expansion of the matrix coefficients of the middle discrete series representation of SU(2,2) by means of degenerate Gaussian hypergeometric series