例如:A(x)=1+x+5*x^2/2!+61*x^3/3!+1329*x^4/4!+43841*x^5/5!+1987153*x ^6/6!+116322249*x ^ 7/7!+8430315169*x ^8/8!+733890562273*x ^9/9!+。。。
其中A(x/A(x))=exp(x*A(x)
exp(x*A(x))=1+x+3*x^2/2!+22*x^3/3!+329*x^4/4!+8396*x^5/5!+318577*x^6/6!+16388086*x^7/7!+1075939601*x ^8/8!+86549687704*x^9/9!+。。。
也,
A(x)=exp(x*B(x)^2),其中B(x
B(x)=1+x+7*x^2/2!+112*x^3/3!+2989*x^4/4!+115136*x^5/5!+5899159*x ^6/6!+381657928*x ^ 7/7!+30082660633*x ^8/8!+2814548348224*x ^ 9/9!+。。。
B(x)^2=1+2*x+16*x^2/2!+266*x^3/3!+7168*x^4/4!+275842*x^5/5!+14058520*x^6/6!+903187826*x^7/7!+70653972896*x^8/8!+6560662418306*x ^ 9/9!+。。。
此外,
A(x/C(x)^2)=exp(x),其中C(x)=A(x/C(x))开始
C(x)=1+x+3*x^2/2!+28*x^3/3!+533*x^4/4!+16096*x^5/5!+680827*x^6/6!+37544368*x ^ 7/7!+2577391273*x^8/8!+213306280480*x ^ 9/9!+。。。
C(x)^2=1+2*x+8*x^2/2!+74*x^3/3!+1344*x^4/4!+39202*x^5/5!+1618456*x^6/6!+87693090*x^7/7!+5940234656*x ^8/8!+486479747906*x ^ 9/9!+。。。
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