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Mag1, m , m , m1 2 3= mm1 m2m32 2 2p 2 p+1 m1 −2i m2−2j m3−2l( −1 ) p!x1 x2 x3 x4( + ) ( − ) ( − ) ( − )∑∑∑ ,Fi= 0 j= 0 l=0 1 2 3i! j! l! 2p 1 ! m 2 i ! m 2 j ! m 2 l !where p = i + j + l , mFm1 ! m2 ! m3!= .The recurrent form of record for four measurementsis:m1 / 2 m2/ 2 m3/ 22i+2 j+2lm −2−2−2=1 i m2j m3lMag 0, m , , ∑ ∑ ∑1 m2ma3i,j,l x1x2x3x4(30)i= 0 j=0 l=0a 0 ,0,0 = 1a1 1i, j, l= - ai - 1, j,l-a2 2-i, j-1, l--aMagi, j, l-1a 0 = 1a,0,0i,j,l− a− a( m - 2i + 2)( m - 2i+ 1)(2i + 2 j + 2 l)(2i + 2 j + 2l- 1)( m - 2 j + 2)( m - 2 j + 1)(2i + 2 j + 2 l)(2i + 2 j + 2l- 1)( m3 - 2l + 2)( m3- 2l+ 1)(2i + 2 j + 2 l)(2i + 2 j + 2l- 1)1, m1, m2, m3= −ai,j−1,li,j,l −1=i−1,j,lm1 / 2 m2/ 2 m3/ 2∑ ∑ ∑i= 0 j=0l=0ai,j,l( m3− 2l+ 2)( m3− 2l+ 1)(2i+ 2 j + 2l)(2i+ 2 j + 2l+ 1)x2i+2 j+2l+11( m1− 2i+ 2)( m1− 2i+ 1)−(2i+ 2i+ 2l)(2i+ 2 j + 2l+ 1)( m2− 2 j + 2)( m2− 2 j + 1)−(2i+ 2 j + 2l)(2i+ 2 j + 2l+ 1)xm1−2i2xm2−2j3xm3−2l4If there is the more general equation of the form:2 2 2 2∂ u u u u+ b ∂ + b ∂ + b∂ = 0∂x ∂x ∂x ∂x2 2 2 3 2 4 21 2 3 4b , b , b the arbitrary coefficients, then thewhere 2 3 4solution of this equation must be found also accordingto formula (28), and functions calculated from thefollowing recursion formulas:Mag0, m1, m2, m3=m1 / 2 m2/ 2 m3/ 2∑ ∑ ∑i= 0 j=0l=0ai,j,lx2i+2 j+2l1xm1−2i2xm2−2j3xm3−2l4Annual Proceedings of Vidzeme University College “ICTE in Regional Development”, 2006145