[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n))

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[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n))

tommy1729 Offline

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03/31/2023, 11:39 AM

I agree with james.

The residue at oo is linked to those at 0.

However in case our function is more complicated or we do not have a reflection formula ...
Im not sure.

Maybe something like

f(x) + h(f(1/x)) = g(x)

Can be used and considered a reflection kinda.

regards

tommy1729

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Messages In This Thread

[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 03/30/2023, 04:51 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 03/31/2023, 03:14 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by tommy1729 - 03/31/2023, 11:39 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 03:29 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 03:43 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 05:02 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 05:21 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 05:31 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 05:38 AM