Found opportunities Classical special functions and L. J. Rogers W. N. Bailey's extension of Roger's work Constant terms Integrals Partitions and $q$-series Partitions and constant terms The hard hexagon model Ramanujan Computer algebra Appendix A. W. Gosper's Proof that $\lim_{q\rightarrow 1^-}\Gamma_q(x)=\Gamma (x)$ Appendix B. Roger's symmetric expansion of $\psi (\lambda, \mu,\nu, q, \theta)$ Appendix C. Ismail's proof of the $_1\psi_1$-summation and Jocobi's triple product identity References.