Dieter Kaiser wrote:
> 1.
>
> I have collected the formulas for the Laplace transforms of more specialized
> Hypergeometric functions: the Hypergeometric 1F1 function, Hypergeometric 2F1
> function, Whittaker M function, Whittaker W function and the Hypergeometric U
> function. (The algorithm of the Laplace transform for the Whittaker W function
> is implemented in the routine F16P217TEST. But the formula I have got looks more
> general.)
All of the formulas used by specint come from Bateman Manuscript
Project, Table of Integral Transforms. F16p217 refers to formula 16 on
page 217.
> To get more insight in the algorithm I have implemented some code for a noun
> form of a function hypergeometric and the Laplace transform for this function.
> Additionally, I have implemented the functions whittaker_m and whittaker_w. It
> is much more expressive to use such nouns instead of %f, %w or %m.
[snip]
> There are more functions $SPECINT uses which should be represented by expressive
> noun forms, e.g.:
>
> %l -> laguerre,
> %he -> hermite,
> %d -> parabolic_cylinder_d,
> %h -> hankel_1 or hankel_2,
> %e -> elleptic_ec
These were not changed because there were no implementations of these
functions. Some have been implemented since, but are not yet integrated.
I rather like %f since it's nice and short, but hypergeometric is better.
The whole hypergeometric function package (hgfred and specint) needs
lots of work, but there hasn't been many (any?) users, so I've been
doing stuff whenever I feel like it.
I look at these and your other changes soon.
Ray