# §31.1 Special Notation

(For other notation see Notation for the Special Functions.)

 $x$, $y$ real variables. complex variables. nonnegative integers. complex parameter, $|a|\geq 1,a\neq 1$. complex parameters.

The main functions treated in this chapter are $\mathop{\mathit{H\!\ell}\/}\nolimits\!\left(a,q;\alpha,\beta,\gamma,\delta;z\right)$, $\mathop{(s_{1},s_{2})\mathit{Hf}_{m}\/}\nolimits\!\left(a,q_{m};\alpha,\beta,% \gamma,\delta;z\right)$, $\mathop{(s_{1},s_{2})\mathit{Hf}_{m}^{\nu}\/}\nolimits\!\left(a,q_{m};\alpha,% \beta,\gamma,\delta;z\right)$, and the polynomial $\mathop{\mathit{Hp}_{n,m}\/}\nolimits\!\left(a,q_{n,m};-n,\beta,\gamma,\delta;% z\right)$. These notations were introduced by Arscott in Ronveaux (1995, pp. 34–44). Sometimes the parameters are suppressed.