This function is a shorthand for a hypergeometric term of variable k where U and L denote the lists of upper and lower parameters, and z is the evaluation point. The procedure Hyperterm is the corresponding inert form which remains unevaluated.

The command with(sumtools,hyperterm) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{sumtools}\right)\:$

$\mathrm{hyperterm}\left(\left[a\,b\right]\,\left[c\right]\,z\,k\right)$

$\frac{\mathrm{pochhammer}\left(a\,k\right)\mathrm{pochhammer}\left(b\,k\right)z^k}{\mathrm{pochhammer}\left(c\,k\right)k!}$

$\mathrm{Hyperterm}\left(\left[a\,b\right]\,\left[c\right]\,z\,k\right)$

$\mathrm{Hyperterm}\left(\left[a\,b\right]\,\left[c\right]\,z\,k\right)$