Waldek Hebisch schrieb: > > email@example.com wrote: > > > > And citing inaccessible theses and > > internal reports can be more frustrating than helpful to a reader > > (as well as dangerous to an author who never saw them). > > Just a quck comment: IME theses tend to be freely publically avaliable > and frequently give more detailed exposition than journal papers, > so actually can be _more_ helpful than other puplications (which > frequently are harder to obtain). > > AFAICS Rotstein thesis is available at: > > www.cs.kent.edu/~rothstei/dis.pdf > > (second Google hit for Rotstein "Aspects of symbolic"). > Bronstein thesis was published in Journal of Symbolic Computation. > In the past access was restricted, but it seems that now > anybody can go to > > http://www.sciencedirect.com/science/journal/07477171/9/2 > > (Issue 2 of Volume 9) and choose second article. > > It seems that in Trager case some amout of Googling should > produce downloadable copy. >
Expecting it to be the most promising, I have checked Bronstein's thesis publication of 1990 (57 pages, 2.4MB, barely readable digitization). I can assure our author that this contains no "prior art" concerning an extension of Hermite reduction (p. 132) to multiple non-integer exponents or to a lowering of exponents: the equations agree with those in the Symbolic Integration Tutorial of 1998/2000 and fail for multiple non-integer exponents because the integrated term is again too restricted. So only Goursat (1902, p. 238-241) and Hebisch (2012, unpublished) remain.