60 C. V. L. Charlier 



We get for instance 



8y dL\ 84) dU^ 



or, according to (12ö), 



8cp _ 1 /8<I> 8<i) 



8«<^i ~ 1/2 V8 Tif^i ' dWj ' 



and similarly 



<Pooo 100 - g,,,^ - ^2 ^8 f/, + 8 C/ J ~ ^2 ^ ^ 



000 100/ 



8'f 1 /8<ï> 8<î> \ 

 1/2 \8 8 F J 



8t'2 



8y _ J_ /8^ 8^ 

 8^2 ~ 1/2 \8 dW^ 



Passing on to the diiïerential coefficients of the second order we get: 



1 (*^200 000 ^*^^100 100 ~^ *^000 200^> 



d^f I 1 \78'''<^^ , 8'<ï> 8^«ï> 8^<î> 



'^lo« 8«, \]/2j is f/j' 8 C/i 8 C/^ ' 8 t/i 8 C^^ 



8f' 



7 2 



^ \^ 200 000 ^ 



8V 



'110 ODO 



8Mj 8^1 



1 \Y 8^4> 



8^4> 



g2<ï> 



g 2(1) 



l/2/\8C^i8F, 8C^i8F2 8 C^^ 8 8 8 ^2 



8 8 \ / 8 8 



8 f/, 8 UJ \d V, 8 K 



l (^110 000 



^100 010 ^010 100 



~l~ *^ooo 110) ' 



and generally 



