Recent content by Cosmossos

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    Graduate Symmetric and Antisymmetric WF

    Hello, Why do symmetric wave function has less energy than the anti symmetric wave function and how does it connect to the number of the nodes (why existence of a node point in the anti symmetric tells us that this is more energetic function?)
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    Thank you everyone for try to help me!
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    come on ... The level of the course is more than that. believe me , I KNOW. No one would give us this question if that was the answer
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    Do you mind sharing?
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    In that case you got 5 out of 20. enjoy
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    You are correct
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    Huh? the simple answer isn't going to work here and it is like giving the trivial solution for a set of equations . This question isn't a stupid college question but some levels above that and needed a little bit more then just stating the answer . jackmell , next time, think before you...
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    no, but I'm asked to find it, so I think i should do more than that
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    I'm talking about (1-cos(z^2))/z^4 it has 4th order zero and (e^z-1-z)/z^2 has 2nd order zero. then they both have a removable singularity, right?
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    Ok, thank you. One more thing, If I have a function and its denominator zero order and the numerator zero order are the same, then we have a removable singularity?
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    Find f(z) when |z|<=1 and |f(z)|=|e^z| for |z|=1

    f(z) is analytic and not equal to zero in the unit circle (|z|<=1) . we also know that |f(z)|=|e^z| for |z|=1. find f(z) How should i approch to this question? I know that on inside the boundary it can't get the maximum nor the minimum .. but it doesn't help at all. i have no idea what to do.
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    I don't see any other constant that would remove this behaviour. am i wrong? And as I understand from this thread e^z/z^2 isn't analytic so there are no functions..
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    I know it's equal to a constant (C). so f(z)=(C+3)/z^2 -(e^z)/(z^2) then I know that for f(z) to be entire C+3=0 and then I need to find what is the value of e^z/z^2 in 0. this is what i did in the first place...
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    I don't know. I want to be sure before i write that there aren't...
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    Discover Complete Functions for (e^z)/(z^2) with Limit 0 | Image Included

    I know. So what should i do?