例如:C(x)=1+x^2/2!-11*x^4/4!+589*x^6/6!-73079*x^8/8!+16276921*x^10/10!-5689569731*x ^12/12!+28705900000069*x^14/14!-1974092553870959*x ^16/16!+。。。
相关系列:
(a) S(x)=x-2*x^3/3!+64*x^5/5!-5648*x^7/7!+975616*x^9/9!-278461952*x ^11/11!+118706427904*x^13/13!-70671453390848*x^15/15!+56012750847410176*x ^17/17!+。。。
(b) C(x)^2=1+2*x^2/2!-16*x^4/4!+848*x^6/6!-104704*x^8/8!+23255552*x^10/10!-8114200576*x ^12/12!+4088708507648*x ^ 14/14!-2809153285586944*x ^16/16!+。。。
(c) S(x)^2=2*x^2/2!-16*x^4/4!+848*x^6/6!-104704*x^8/8!+23255552*x^10/10!-+。。。
(d) 平方(C(x)^2+S(x)*^2)=1+2*x^2/2!-28*x^4/4!+1688*x^6/6!-226672*x^8/8!+53581472*x^10/10!-19645025728*x^12/12!+10314899562368*x ^14/14!-734075901233072*x ^16/16!+。。。
(e) log(C(x)+i*S(x))=i*x+2*x^2/2!-7*i*x^3/3!-40*x^4/4!+293*i*x^5/5!+2768*x^6/6!-30763*i*x^7/7!-405760*x^8/8!+6040937*i*x^9/9!+102313472*x ^10/10!-+。。。
(f) 反弧(C(x))=x-3*x^3/3!+93*x^5/5!-8127*x^7/7!+1397337*x^9/9!-397761243*x ^11/11!+169266767733*x^13/13!-100648672656087*x ^ 15/15!+。。。