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... If I have skipped your question below, or if something is unclear, or if I accidentally delete…
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If I have skipped your question below, or if something is unclear, or if I accidentally deleted it, please leave a comment about it (I was answering the questions today in a hurry and concurrently with some other edits)
Q : Give an example of a non-constant analytic function f(z) such that the equation f(z) = 0 doesn’t have any solutions.
A: f(z)=e^z
Q: Find the number of zeroes of z^2+e^z-2 in the disc |z|<2
A: Is the question about z^2 + e^(z-2) ? As written, it is a very hard question.
Questions
edited
Instructions: click "edit" in the upper right corner and type in your question after the …
Instructions: click "edit" in the upper right corner and type in your question after the instructions but before all other questions. If you want to write a math formula, look at how other formulas have been typed on this wiki or type it in plain text. I will answer the question as soon as I can
If I have skipped your question below, or if something is unclear, or if I accidentally deleted it, please leave a comment about it (I was answering the questions today in a hurry and concurrently with some other edits)
Q : Give an example of a non-constant analytic function f(z) such that the equation f(z) = 0 doesn’t have any solutions.
Q: Find the number of zeroes of z^2+e^z-2 in the disc |z|<2
A: Is the question about z^2 + e^(z-2) ? As written, it is a very hard question.
Questions
edited
Instructions: click "edit" in the upper right corner and type in your question after the …
Instructions: click "edit" in the upper right corner and type in your question after the instructions but before all other questions. If you want to write a math formula, look at how other formulas have been typed on this wiki or type it in plain text. I will answer the question as soon as I can
If I have skipped your question below, or if something is unclear, or if I accidentally deleted it, please leave a comment about it (I was answering the questions today in a hurry and concurrently with some other edits) Q:FindQ: Find the number
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zeroes of z2+ez-2z^2+e^z-2 in the disc |z|<2
A: Is the question about z^2 + e^(z-2) ? As written, it is a very hard question.
Q: True or False: There exists an analytic (one-valued) function on the complex plane whose square is equal to e^z-1.
A: False. If f(z)^2 = e^z - 1, then differentiating both sides we get 2 f(z) f ' (z) = e^z. In particular f(0)^2 = 0 and 2 f(0) f ' (0) = 1. These two equalities are incompatible.