A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials

Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng

Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the $n$ by $n$ determinant $\det ((a+j-i)\Gamma (b+j+i))$ in 2000. When $a=0$, Ciucu and Krattenthaler computed the…