Adds an entry to the lookup table for the integral transform <tname>. After this function is executed, any call to <tname> with argument <patt> will result in <expr> being returned.

If you wish this information to be saved across sessions, a facility exists, savetable, that will save the information of a particular table to a particular file.

The expression <patt> may include any number of parameters, which may also be used in the transform expression <expr>.  Conditions may be placed on the parameters, by using the <conditional> argument. The <conditional> statement must be an unevaluated operator which evaluates to type boolean.  Unevaluated operators include Range, _testeq, _signum, and _evalb.

The hankel and invmellin transforms take additional arguments in the transform.  For this reason, they also take additional arguments within the <addtable>.

The format for hankel is of the form hankel=mu::Range(-1,infinity), to specify that the transform can be performed only if the additional argument to hankel is within the range -1 to infinity.

The format for invmellin is of the form , to specify that the transform can only be performed if the additional argument is contained within the range 3 to 5.