I'Kor.ic.inox (Hi:i< r.iR.n.i.ii. iosdiutoks .vu 



where 



, n/'I U i{Uo + Vo)-Hi(ll„-Vo ) ,».. 



where 



.. + ,...(,„.^„„i.(l+44{|'). (28) 



J-Vl-(2t)- (29) 



- (2*)' 

 The formula for the correction factor (" is tlien 



where 



5,= N«^u-,F" s2-, (30) 



Si=^^mvnk-''s-+K (31) 



(32) 



Kor large values of the argument 

 and the correction factor is 



c=i+2 ^-^/V ^'^■-^/'+'/(i-4-)>--^0 nil) 



w-n(l-l/\/2A.-)^ ^ L*^ 'V V2.v''J ^ 



When .V and y are both large quantities, the auxiliary functions are 

 as follows, provided terms of the second order in l/x and \/y are 

 negligible, n in d and h below being equal to the number of terms 

 in which Si and 52 converge to a required order of approximation. 



With the notation 



cos = cos-\/2(x — v) , 

 sin=sin\/2(A: — v). 

 exp = exp [— \/2(x — _v)], 

 p ^ p, l + [(l+a)sin-(l-a)coslexp-a exp' 

 " ■^ l-[(l-6)sin + (H-6)cos]e.xp+6exp^ ^ ' 



