Primitive function
up vote
0
down vote
favorite
I have a question.
Does the function $z/(z^2+1)$ have primitive function in
a) $ mathbb{C} backslash {-i,i}$
b) $ mathbb{C} backslash [-i,i]$
I tried with Cauchy theorem but I did not do it.
Thanks in advance.
complex-analysis
asked Nov 12 at 20:24
John1357
183
add a comment |
up vote
0
down vote
favorite
I have a question.
Does the function $z/(z^2+1)$ have primitive function in
a) $ mathbb{C} backslash {-i,i}$
b) $ mathbb{C} backslash [-i,i]$
I tried with Cauchy theorem but I did not do it.
Thanks in advance.
complex-analysis
asked Nov 12 at 20:24
John1357
183
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
2
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a question.
Does the function $z/(z^2+1)$ have primitive function in
a) $ mathbb{C} backslash {-i,i}$
b) $ mathbb{C} backslash [-i,i]$
I tried with Cauchy theorem but I did not do it.
Thanks in advance.
complex-analysis
asked Nov 12 at 20:24
John1357
183
I have a question.
Does the function $z/(z^2+1)$ have primitive function in
a) $ mathbb{C} backslash {-i,i}$
b) $ mathbb{C} backslash [-i,i]$
I tried with Cauchy theorem but I did not do it.
Thanks in advance.
complex-analysis
complex-analysis
asked Nov 12 at 20:24
John1357
183
asked Nov 12 at 20:24
John1357
183
edited Nov 12 at 21:11
asked Nov 12 at 20:24
John1357
183
asked Nov 12 at 20:24
John1357
183
asked Nov 12 at 20:24
John1357
183
183
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
2
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20
add a comment |
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
2
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
2
2
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2995812%2fprimitive-function%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Also an open interval is denoted with parentheses, not braces.
– Ross Millikan
Nov 12 at 21:12
@RossMillikan, I think the OP means the two-point set $ {-i,i}$.
– lhf
Nov 12 at 21:15
@lhf: probably so, thanks
– Ross Millikan
Nov 12 at 21:17
It means without point $-i$ and without point $i$ in point a)
– John1357
Nov 12 at 21:18
2
Hint: Use residues to calculate the contour integral along a big circle that goes around both poles.
– Henning Makholm
Nov 12 at 21:20