Proceedings in pdf format. - Sociotechnical Systems Engineering ...

0,10,20,30,4( )Mag x y y Ge wx2, = × (0, ),( )Mag x y y Ge wx x Ge wx2 2 2 2, = × (0, )- × (1, ),( )3 2 2 2, = × (0, )- 3 × × (1, ),Mag x y y Ge wx y x Ge wx( )Mag x y = y × Ge wx - y × x × Ge wx + x × Ge wx4 2 2 2 2 4 2, (0, ) 6 (1, ) (2, ),------------------------------------------------------------------------------------------------------------------k / 2 m 2mk −2m2( −1)× x × y × Ge(m,wx )Mag 0, k ( x,y)= k!∑(14).m=0 (2m)!(k − 2m)!The recurrent form of the record is:k / 2mm=0Mag0 , ( x,y)= ∑ a Ge(m,wx )akk0 = y ; am= −am−11,3( )( k − 2m+ 2)( k − 2m+ 1) x×2m(2m− 1) y1Mag1,2( x y)= y × x × Ge wx - x × Ge wx3Mag x y = y × x × Ge wx - y × x × Ge wx222The second part of the function is:2Mag1,0( x, y)= x×Ge(1, wx ),1,1( )2 2 3 2, (1, ) (2, ),3 2 3 2, (1, ) (2, ),Mag x y = y× x×Ge wx2, (1, ),1Mag1,4( x y)= y × x × Ge wx - y × x × Ge wx + x × Ge wx54 2 2 3 2 5 2, (1, ) 2 (2, ) (3, )-------------------------------------------------------------------------------------------------------------------------------------------k / 2 m 2m+1 k −2m2( −1)× x × y × Ge(m + 1, wx )Mag 1, k ( x,y)= k!∑(15).m=0 (2m+ 1)!( k − 2m)!In this case the recurrent form of the record is:k / 2mm=0Mag1 , ( x,y)= ∑ a Ge(m + 1, wx )akk0 = y x;am= −am−1( k − 2m+ 2)( k − 2m+ 1) x×(2m+ 1)2myThe one-dimensional functions of Hermanincorporated into these two-dimensional functionsMary are determined from the following formulas.222w >Ge wx x wThe first version – if 020, = cos( ) and for n >0( )( , )Ge n wx(16).(2n −1)! ( − w) ( i + n −1)!= ∑x( n − 1)! (2i + 2n −1)! i!∞ i2 2ii=0w 0Annual Proceedings of Vidzeme University College “ICTE in Regional Development”, 2006137