No. 95 (00217, 00219) Family name : Davydychev Given name : Andrei Affiliation : Institute for Nuclear Physics of Moscow State University and Schlumberger-SPC (Sugar Land, Texas, USA) Abbreviation : E-mail address : davyd@thep.physik.uni-mainz.de Title : Feynman diagrams in terms of angular variables and analytic continuation Authors : A.I. Davydychev and M.Yu. Kalmykov Abstract : Studying higher terms of the epsilon-expansion of physically-relevant Feynman diagrams, we explore the connection between terms of the expansion of the corresponding hypergeometric functions and multiple inverse binomial sums. In many cases, it is useful to get result in terms of geometrical angular variables, and then continue it analytically to get polylogarithms and their generalizat ions.