Recent content by yfatehi

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    Integral involving power , exp and exp(power)

    Plaese I need more information about this condition can you recommend me any reading material
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    Integral involving power , exp and exp(power)

    If I have a power series is the variable x which is uniformaly absolutely convergent over the entire positive Reals domain and then I multipled this series by F(x) which does not depend on the series index n. ie all the series terms are multipiled by the same fuction. Will the resulting series...
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    Integral involving power , exp and exp(power)

    How can use the series expansion
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    Integral involving power , exp and exp(power)

    I need some help evaluating the following integral from 0 to inifinity and a,p,c are positive reals, p>=1 \int\limit_0^\infty\ x^{p-1}e^{-x}e^{-c x^a} dx
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    Solving Integrals by Series Expansions

    f(x)= Sum ( Un(x) ), n from 0 to infinity , x is random positive variable We need to get the average E{f(x)} over x so we first multiply with the Prob. Density function PDF(x) then integrate fom 0 to inf first if the original series Un(x) is uniform convergent over x from 0 to inf, will its...
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    Solving Integrals by Series Expansions

    If the initial series is uniform convergent in the region from 0 to inf. what is the status of the Expectation? ie E{f(x)}= Sum ( E{Un(x)} )
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    Solving Integrals by Series Expansions

    How to test the uniform convergence
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    Solving Integrals by Series Expansions

    Form more clarity I have a function F(a) expandable in power series. The parameter a is random variable and I must average by multiplying F(a) with the PDF of this variable and integrate from 0 to infinity. Although the PDF function is bound and the expansion of F(a) in series is convrgent, the...
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    Solving Integrals by Series Expansions

    In my PhD I need to solve an integral of the generalized MarcumQ function multiplied by a certain probability density function to get the overall event probability. Numerically solution produces bound result as it represents a probability but when trying to use a convergent power expansion of...
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