Recent content by wnvl

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    Graduate Fourier Transform of Bessel Function of the 1st Kind

    You can find the solution here http://math.stackexchange.com/questions/78316/fourier-transform-of-bessel-functions
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    Proving the Equation with Complex Numbers

    In the mean time I got a nice solution on this dutch math forum. http://www.wiskundeforum.nl/viewtopic.php?f=10&t=5579&p=37185#p37177
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    Proving the Equation with Complex Numbers

    Homework Statement Prove the following equation 2^{n-1}\prod_{k=0}^{n-1}\sin(x+\frac{k\pi}{n}) = \sin(nx)Homework Equations The Attempt at a Solution Below you find my unsuccessfull attempt using complex numbers. When you convert it to complex numbers the equality can be rewritten as...
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    Undergrad Is there a trigonometric identity for this ?

    cos(wt) + k.cos(wt+phi)=-k sin(phi) sin(wt)+(k cos(phi)+1)cos(wt)
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    Graduate How Do You Decompose a Complex Function into Real and Imaginary Parts?

    Don't know whether it is allways possible for a holomorphic function to get an analytic expression for u and v? In case of z2 it is evident. If you use a specific parametrisation to solve the Cauchy Reimann equations, then you do not prove that a function is holomorphic on the entire domain...
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    Graduate How Do You Decompose a Complex Function into Real and Imaginary Parts?

    Simply replace z by x+iy in h(z).
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    Graduate Can You Prove This Inequality for Positive Real Numbers a,b,c,d with Sum of 1?

    implies 0<a+b+c<1
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    Graduate Can You Prove This Inequality for Positive Real Numbers a,b,c,d with Sum of 1?

    a,b,c,d\in\mathbb{R^{+}}\;\;,a+b+c+d=1. Then prove that \left( a+\dfrac{1}{b}\right).\left(b+\dfrac{1}{c}\right).\left(c+\dfrac{1}{a}\right)\geq \left(\dfrac{10}{3}\right)^3 Anyone an idea on how to start with this exercise?