Special functions in Academician A.A. Dorodnicyn’s scientific legacy: Special functions associated with the van der Pol equation

On the occasion of the centenary of Academician A.A. Dorodnicyn’s birth, his results concerning an asymptotic method for solving the Van der Pol equation are presented. The special functions associated with the theory of this equation are analyzed.     

Section EuNdGa3S7-EuGa4S7 of the ternary system Nd2S3-Ga2S3-EuS

The section EuNdGa₃S₇-EuGa₄S₇ of the ternary system Nd₂S₃-Ga₂S₃-EuS was studied by physicochemical analysis methods (differential thermal, X-ray powder diffraction, and microstructural analyses and microhardness and density measurements). The data obtained were used to construct the state diagram of the section EuNdGa₃S₇-EuGa₄S₇. The section was found to be a quasi-binary section of the ternary system and is of the eutectic type. The coordinates of the eutectic are 64 mol % EuGa₄S₇ and T _melt = 1170 K. A region of solid solutions based on both components was found.