Some methods to evaluate complicated Feynman integrals

Last years there was an essential progress in calculations of Feynman integrals. It seems that most important results have been obtained for two-loop four-point massless Feynman diagrams: in on-shall case (see [1,2]) and for a class of offshall legs (see [3]). A review of the results can be found in [4]. Moreover, very recently results for a class of these diagrams have been obtained [5] in the case when some propagators have a nonzero mass. In the letter, I review very shortly results obtained with help of two methods for calculations of Feynman diagrams (for details, see [6]): the Gegenbauer Polynomial Technique [7] (see also [8,9]) and the Differential Equation Method (DEM) [10]. The additional information about a modern progress in calculations of Feynman integrals can be found, for example, also in recent articles [11].