/2*im(x)\ /2*re(x)\ /2*re(x)\ /2*im(x)\
a1 = -1 + cosh|-------|*sin|-------| + I*cos|-------|*sinh|-------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$a_{1} = \sin{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \cosh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} + i \cos{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \sinh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} - 1$$
a1 = sin(2*re(x)/3)*cosh(2*im(x)/3) + i*cos(2*re(x)/3)*sinh(2*im(x)/3) - 1
Suma y producto de raíces
[src]
/2*im(x)\ /2*re(x)\ /2*re(x)\ /2*im(x)\
-1 + cosh|-------|*sin|-------| + I*cos|-------|*sinh|-------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\sin{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \cosh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} + i \cos{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \sinh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} - 1$$
/2*im(x)\ /2*re(x)\ /2*re(x)\ /2*im(x)\
-1 + cosh|-------|*sin|-------| + I*cos|-------|*sinh|-------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\sin{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \cosh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} + i \cos{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \sinh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} - 1$$
/2*im(x)\ /2*re(x)\ /2*re(x)\ /2*im(x)\
-1 + cosh|-------|*sin|-------| + I*cos|-------|*sinh|-------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\sin{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \cosh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} + i \cos{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \sinh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} - 1$$
/2*im(x)\ /2*re(x)\ /2*re(x)\ /2*im(x)\
-1 + cosh|-------|*sin|-------| + I*cos|-------|*sinh|-------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\sin{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \cosh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} + i \cos{\left(\frac{2 \operatorname{re}{\left(x\right)}}{3} \right)} \sinh{\left(\frac{2 \operatorname{im}{\left(x\right)}}{3} \right)} - 1$$
-1 + cosh(2*im(x)/3)*sin(2*re(x)/3) + i*cos(2*re(x)/3)*sinh(2*im(x)/3)