A new symmetry related to SU(n) for classical basic hypergeometric series

A new symmetry for Biedenharn's G-functi

A new symmetry for Biedenharn's G-functions and classical hypergeometric series

✍ R.A Gustafson; S.C Milne 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 639 KB

We show that the general bisymmetric polynomials ;Gf)(y,,..., y,,; a,,..., 6,) are a limiting case of the bisymmetric, invariant polynomials ;Grr(y,,...,y,; a,,..., 6,) which characterize U(n) tensor operators (p, q,..., q. 0, . . . . 0). By taking suitable limits of a pair of difference equations f