Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group

S. E. Derkachov, G. A. Sarkissian, V. P. Spiridonov

We show that the complex hypergeometric function describing $6j$-symbols for $SL(2,\mathbb{C})$ group is a special degeneration of the $V$-function -- an elliptic analogue of the E…