The increasing use of mathematical techniques in the physical and technical literature necessitates constant reference to extensive and sometimes not easily accessible wo*ks in mathematics as well as to numerous individual papers. Of the material that is always needed and that has to be looked up anew each time with considerable effort, a major part consists of a very large number of results, especially formulas, which can be presented in very little space. The authors hope that a useful purpose will be served here by the survey given in this volume of the properties of a number of special functions.