Proof that the following function is continuous and (hence holomorphic using Morera's).
Clash Royale CLAN TAG#URR8PPP
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How does one go about proving that g is continuous?
I can't seem to find a bound for the integral. Secondly what happens when z is a element of the curve. I know that the function inside the integral is still continuous but I won't be able to split it up to manipulate it.
Any Solutions?(Stuck for 6 hours) I have proven for z in H. Just need a proof for in G
complex-analysis continuity holomorphic-functions
add a comment |Â
up vote
0
down vote
favorite
How does one go about proving that g is continuous?
I can't seem to find a bound for the integral. Secondly what happens when z is a element of the curve. I know that the function inside the integral is still continuous but I won't be able to split it up to manipulate it.
Any Solutions?(Stuck for 6 hours) I have proven for z in H. Just need a proof for in G
complex-analysis continuity holomorphic-functions
Related question.
â Jan Bohr
Sep 5 at 11:55
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
How does one go about proving that g is continuous?
I can't seem to find a bound for the integral. Secondly what happens when z is a element of the curve. I know that the function inside the integral is still continuous but I won't be able to split it up to manipulate it.
Any Solutions?(Stuck for 6 hours) I have proven for z in H. Just need a proof for in G
complex-analysis continuity holomorphic-functions
How does one go about proving that g is continuous?
I can't seem to find a bound for the integral. Secondly what happens when z is a element of the curve. I know that the function inside the integral is still continuous but I won't be able to split it up to manipulate it.
Any Solutions?(Stuck for 6 hours) I have proven for z in H. Just need a proof for in G
complex-analysis continuity holomorphic-functions
complex-analysis continuity holomorphic-functions
edited Sep 5 at 12:06
asked Sep 5 at 11:44
Jhon Doe
423212
423212
Related question.
â Jan Bohr
Sep 5 at 11:55
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56
add a comment |Â
Related question.
â Jan Bohr
Sep 5 at 11:55
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56
Related question.
â Jan Bohr
Sep 5 at 11:55
Related question.
â Jan Bohr
Sep 5 at 11:55
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56
add a comment |Â
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Related question.
â Jan Bohr
Sep 5 at 11:55
the map "$int _x$" that sends $fmapsto int f dx$ is continuous. so you have composition of continuous functions. $int_w circ phi(_,w) $
â Sheve
Sep 5 at 11:56