=ADD= =reftype= 14 =number= 03-07 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2003/03-07.ps.gz =year= 2003 =month= 09 =author= Driver; K. + Prodinger; H. + Schneder; C. + Weideman; A. =title= Pad{\' e} Approximations to the Logarithms II: Identities, Recurrences, and Symbolic Computation =abstract= Combinatorial identities that were needed in Pad{\' e} approximations to the logarithms are proved, mostly with C.~Schneider's computer algebra package Sigma. The form of the Pad{\' e} approximation of the logarithm of arbitrary order is stated as a conjecture. =note= Submitted =sponsor= Supported by the John Knopfmacher Research Centre for Applicable Analysis and Number Theory and the SFB-grant F1305 of the Austrian FWF. =keywords= Pad{\' e} approximation, combinatorial identities, computer algebra, creative telescoping