1.下列函数有些什么奇点?如果是极点,指出它的级数:-|||-(1) dfrac (1)(z{({z)^2+1)}^2} ;-|||-(2) dfrac (sin z)({z)^3} =-|||-(3) dfrac (1)({z)^3-(z)^2-z+1} ;-|||-(4) dfrac (ln (z+1))(z) ;-|||-(5) dfrac (z)((1+{z)^2)(1+(e)^pi z)} ;-|||-(6) dfrac (1)({e)^2-1} ;-|||-(7) dfrac (1)({z)^2((e)^z-1)}-|||-(8) dfrac ({z)^2n}(1+{z)^n} (n为正整数);-|||-(9) dfrac (1)(sin {2)^2} .

1.下列函数有些什么奇点?如果是极点,指出它的级:(1)(1)/(z(z^2)+1)^(2); (2)(sin z)/(z^3); (3)(1)/(z^3)

求下列函数的奇点:(1)dfrac (z+1)(z({z)^2+1)}; (2)dfrac (z+1)(z({z)^2+1)}求下列函数的奇点:(1)

1.问下列各函数有哪些孤立奇点?各属于哪一类型?如果是极点,指出它的阶数.-|||-(1) dfrac (1)({z)^3(({z)^2+1)}^2}-|||-

(z)=(z)^2+dfrac (1)({z)^2+1}，则其解析区域为( )(z)=(z)^2+dfrac (1)({z)^2+1}(z)=(z)^2+dfr

5.7 求出下列函数在有限孤立奇点处的留数:-|||-(1) dfrac ({e)^x-1}(z);-|||-(2) dfrac ({z)^7}((z-2){(

[题目]如果复数z1,z2,z3满足等式 dfrac (({z)_(2)-(z)_(1))}(({z)_(3)-(z)_(1))}=dfrac (({z)_(1

z=0是函数(z)=dfrac (z)(sin {z)^2cdot ((e)^z-1)}的几级极点A 1 B 2 C 3 D 4z=0是函数的

3.-|||-问∞是否为下列函数的孤立奇点?如果是,指出其奇点类型.-|||-(1).cos 2;-|||-(2) ((1+2z))^2;-|||-(3) df

1.将下列各函数在指定圆环内展为洛朗级数.-|||-(1) dfrac (ln (2-z))(z(z-1)) lt |z-1|lt 1;-|||-(2) dfr

(z)=(z)^2+dfrac (1)({z)^2-1}，则其解析区域为（）(z)=(z)^2+dfrac (1)({z)^2-1}(z)=(z)^2+dfra