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The exact values of the presently determined components 26of the angular Fockcoefficients at the two-particle coalescences were obtained and systematized.The Green Function approach was successfully applied to simplify the mostcomplicated calculations. The boundary conditions for the Fock coefficientcomponents in the hyperspherical angular coordinates, which follows from theKato cusp conditions for the two-electron wave function in the naturalinterparticle coordinates, were derived. The validity of the obtained boundaryconditions was verified on examples of all the presently determined components.The additional boundary conditions are not arising from the Kato cuspconditions were obtained as well. The Wolfram Mathematica was used intensively.

Two-particle atomic coalescences: Boundary conditions for the Fock coefficient components