Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

We will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and disadvantages of this type of approach to the evaluation of Feynman diagrams is discussed.
Comment: 7 pages, LaTeX, PoS style; based on a talk given by M.Kalmykov at ACAT 2008, Erice, Italy, Nov. 3-7, 2008; v2: few references added; v3: few references and some details added and conclusion is improved