Recent content by Eismc[]

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    Undergrad Convergence of Series: Find the Value | Online Databases

    Hello everyone, does someone know what the value of [SUM (k from 0 to infinity) k²(x^k)] (with |x| < 1) is? I couldn't find it anywhere. :-( Are there any good online databases for such things? Many thanks in advance!
    • Eismc[]
    • Thread
    • Convergence Series
    • Replies: 1
    • Forum: Calculus
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    Graduate Hermitian conjugate of differential operator

    Hi Hurkyl, thanks again for the quick answer! For 2: Coming back to your example (the complex conjugate of an integral of a single function), what if there was an operator like dpart/dpartx before f(x)? Could I still pull the star behind the f(x)? Thanks in advance Torsten
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    Graduate Hermitian conjugate of differential operator

    Hi everyone, thank you very much for your answers! Indeed I should have been more precise, I'm sorry. I did get to the point at which the partial integration can be done and I've actually done it. Two questions arise here: 1. What happens to 1/i phi* psi with x between plus and minus...
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    Graduate Hermitian conjugate of differential operator

    Hi everyone! How can I find the Hermitian conjugate of the differential operator D, with D psi = 1/i dpart/dpart(x) psi? I know you can do this with partial integration starting from <phi|D|psi>* = <phi|D+|psi> but how exactly does it work? I'm sorry for using such an ugly...