1 82 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



8.513 2 = o, 01 ^ o: 



where: 



A b aibi 20200 Q bi 



A = - T- OLi = r , fa = -, 



0i #201 02 



: . *=1-A 



8.514 6 2 4= o, 6 = : 

 402 



y = e^ x ~ 

 where: 



- #261 



- 2^16162 



6 2 J 

 P = * = ^^ 



O CH t L ' T I ^1 



O.OlO 02 + O. 4 1 ~T" : 



46 2 

 y = e Xx F 



where a 2 = 02, ft = 6 2 , ft = 26 2 X + 61 and X is one of the roots of 



6 2 X 2 + 6iX + 60 = o. 



fl^X 2 + oiX + OQ 



P = T~A i Q ' 



26 2 X + 61 



8.520 The solution of 8.510 will be denoted: 



2- F(p, q, - Q 



3- 



4. 



5- ^( - P, - 9, = ? +p+9 F(i + g, i+ p, Q. 



