Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1990. Sectio Physicae (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 20)

Franczia Tamás: An arialytical inethod for calculating multicentre intégrais built up from GTF—S II.

- ó integral where k>0 because it- is the parameter of Fourier's cosinus transform with respect to p and G

R is the curve to be seen below: Ze fV i § .iltz LCz- rx)

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23

2 d z = J ,1 k p 2i 2 [Cp- rx^+d"] dp + a R lim - f CF £ a. .ilti CCz- rx}

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23 2 dz ,i ki + oo dz = J -ao k p CCz- rx)

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2:

2 icp- rx)

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23

2 that results From lim R J R s -R 4-00 dp s S -co kp [Cp- rxD

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2:

2 " icp- rx)

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23

2 dp dp C48) C49) C50a) and ikz CCz- rx>

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2] dz max zeC. .iki CCz- rx3

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2] CSQb) is the application of the {[fCz} • lCyO • nR C50b5 C51

) Jf Cz)dz r relation that is Cauchy's estimation where IC7O is the length of the curve -y. The denominator of the fraction in the right side of C50b) is equal to zero if z= Tx+id and accordingly in case of c rx)

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2 and <p = arc tg Cd * C Px)1]. Since jexpCikR cosf) j=i in any case, |expC—kR sin tp> jil along C

R if k^O and the numerator