if you did not see the image please inlarge ctrl+ any idea that help in proving this equality is appretiated. Thanks
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Substitute the MacLaurin series for $\displaystyle \displaystyle e^z, e^{-\frac{1}{2}z}$ and $\displaystyle \displaystyle \cos{\frac{z\sqrt{3}}{2}}$ into RHS and simplify...
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