336 BELL SYSTEM TECHNICAL JOURNAL 



where p and q are to be so assigned that k ^ 1. Then the coefficients 

 are all expressible in terms of complete elliptic integrals with modulus 

 K] these will be designated as Ko and E2. Coefficients of even order 

 vanish, while those of the first three odd orders are found to be 



^21 = - ^21 = tV [(1 - 20£2 - (1 - 0X2] 



An = Au = y^[(2 - k')E, - 2(1 - k')K22 

 ^30 = /-2[(7 - Sk')E, - 4(1 - 0X2] 

 ^03 = 7^1 n(8 - 30(1 - k')K, - (8 - 70£2] 



- (1 - 8/c2)(l - Oi^2]K21) 



^14 = ^14 = 7^1^8(2 - k2)(1 _,2)^^ 



- (16 - 16k- + K^)£2] 



^32 = ^32 = 1^V2[2(1 + 20(1 - K2)i^2 



- (2 + 3«2 _ 8k'»)E2] 

 ^23 = - ^23 = T^ [(8 + 0(1 - k')K, - (8 - 3^-2 - 2.^)£2] 



A,o = y^[(43 - 168.2 ^ uSk')E2 



- 4(7 - 16.2) (1 - ^2)^^] 



^05 = .^tVs C(128 - 168.2 + 43/c'«)E2 



-(128 - 104.2 ^ 15^4) (1 _ ^.2)^22 



Negative digits of the subscripts are underscored in the coefficients 

 for lower side frequencies. 



Upon putting the various quantities into equation (8) from equations 

 (2), (13), (14), and (18) it thus becomes 



