How do I prove the following statement to do with formal power series?
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Let f(t) be a formal power series with ord(f) = 1 and let g(t) be the inverse of f. Then b0 = 0 and bn = (Res(1/(f(t))^n))/n where n>0
I am completely lost in understanding how I should show that this statement is true, any help would be appreciated, thank you.
residue-calculus formal-power-series
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
$endgroup$
add a comment |
$begingroup$
Let f(t) be a formal power series with ord(f) = 1 and let g(t) be the inverse of f. Then b0 = 0 and bn = (Res(1/(f(t))^n))/n where n>0
I am completely lost in understanding how I should show that this statement is true, any help would be appreciated, thank you.
residue-calculus formal-power-series
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
$endgroup$
$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39
add a comment |
$begingroup$
Let f(t) be a formal power series with ord(f) = 1 and let g(t) be the inverse of f. Then b0 = 0 and bn = (Res(1/(f(t))^n))/n where n>0
I am completely lost in understanding how I should show that this statement is true, any help would be appreciated, thank you.
residue-calculus formal-power-series
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
$endgroup$
Let f(t) be a formal power series with ord(f) = 1 and let g(t) be the inverse of f. Then b0 = 0 and bn = (Res(1/(f(t))^n))/n where n>0
I am completely lost in understanding how I should show that this statement is true, any help would be appreciated, thank you.
residue-calculus formal-power-series
residue-calculus formal-power-series
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
asked Jan 7 at 9:49
Chloe PattisonChloe Pattison
11
11
$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39
add a comment |
$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39
$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39
$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39
add a comment |
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$begingroup$
Can you give a simple example of using "this statement"? Then we may judge how we can help you.
$endgroup$
– Somos
Jan 7 at 12:39