3T 



APPENDIX 1 



TABLE OF COEFFICIENTS FOR BASIC SIXTH-DEGREE POLYNOMIALS 



The coefficients for basic sixth-degree polynomials occur in the 

 following formulas: 



where 



and 



y^ = 2r R (x) + 2r R, (x) + C P(x) + Q(x) 

 1 1 p 



R^(x) = x(x - l)^(x - m)2(a^ + a^x) 



R^(x) = x2(x - l)(x - m)2(^^ + /S^x) 



P(x) = x^(x - l)^(x - m)^y 



Q(x) = x^(x - 1)2(<5q + fi^x + (5^x2) 





= 



7(1 - 4m 



+ 5m^) 



"l 



2m^(2 - 7ni 



+ 7ni^) 



^0 



= 



10 - 28m 



+ 21m^ 



2(1 - m)2(2 



- 7ni + 7m^) 



fl 





7(2 - 



6m + 5m^ ) 



y = 



2(1 - m)2(2 - 7m + 7m^) 



105 



2(2 - 7m + 1m^) 





3(2 • 



- 8m + 



7m^) 









4m^(l - m 



3(2 . 



7m + 



7m^) 





2 - 4m - 



- I4m2 



+ 21m=' 



1 



2m3(l - m 



3(2 . 



7m + 



7m^) 





7(1 - 



■ 5m + 



5m^) 





4m'' (1 - m)^r2 - 7ra + 7m^ ) 



[14] 



[39] 



[^0] 



The coefficients are tabulated for values of m from 0.10 to O.5O in 

 Intervals of 0.02. 



