Talk:Jensen's formula
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What is r?
editThe formula refers to a number called r without saying what it is. It also fails to indicate that 0 is in the disk D, but says ƒ(0) = ... etc.
My guess: A disk centered at 0 was intended, and r is supposed to be a positive number strictly smaller than the radius of that disk.
Right? Michael Hardy (talk) 16:07, 26 July 2009 (UTC)
- Ahlfors's discussion of Jensen's formula (in section 3.1, p. 207) uses the closed disk |z| ≤ ρ, and in his statement of the formula he uses the same variable ρ. So I'd say r here is the radius of the disk, not a strictly smaller positive number. Michael Slone (talk) 17:24, 26 July 2009 (UTC)
Thank you. I should have looked in Ahlfors. Michael Hardy (talk) 22:39, 26 July 2009 (UTC)
I am not an expert or something,
editbut the formula seems to be some kind of generalisation of the Vieta's formula for polynomials, unless I am wrong --77.125.72.170 (talk) 19:20, 9 April 2012 (UTC)
Mistake in Jensen's formula for meromorphic functions
editIs the formula for meromorphic functions correct? For example for f(z)=z it seems to be false. I think the correct statement would be
— Preceding unsigned comment added by 141.201.164.120 (talk) 14:08, 2 September 2014 (UTC)
- Indeed. Based on this simple argument, I am "boldly" making the change in the article, now. Not sure why no one has dealt with this earlier. 67.198.37.16 (talk) 04:30, 15 April 2024 (UTC)
- Thank you for the edit. In this case is pretty obvious, but try to provide a reference in future. Roffaduft (talk) 06:12, 15 April 2024 (UTC)