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Laurent expansion

   Also found in: Wikipedia 0.01 sec.
Laurent expansion [lȯ′rän ik‚span·chən]
(mathematics)
An infinite series in which an analytic function ƒ(z) defined on an annulus about the pointz0may be expanded, withnth terman(z - z0)n,nranging from -∞ to ∞, andan= 1/(2πi) times the integral of ƒ(t)/ (t-z0)n+1along a simple closed curve interior to the annulus. Also known as Laurent series.


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s-1] that we find are sums involving coefficients in the Laurent expansion of certain Dirichlet series.
 
 
 
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