complex inequality

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complex inequality

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Nov3-09, 04:33 PM	#1
smyroosh smyroosh is Offline: Posts: 2	complex inequality How to prove the following inequality: for complex z such that Re z < 0 : $LaTeX Code: \\left\| e^z-1\\right\| < \\left\| z\\right\|$ ?

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Nov3-09, 05:58 PM	#2
elibj123 elibj123 is Offline: Posts: 23	Re: complex inequality use the identities $LaTeX Code: \\left\|z\\right\|^{2}=z\\bar{z}$ and $LaTeX Code: \\bar{e^{z}}=e^{\\bar{z}}$ since both sides of the inequality are positive you can square it up

Nov4-09, 03:14 AM	#3
smyroosh smyroosh is Offline: Posts: 2	Re: complex inequality What next?

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