Laurent expansion

Laurent expansion

[lȯ′rän ik‚span·chən]
(mathematics)
An infinite series in which an analytic function ƒ(z) defined on an annulus about the point z0 may be expanded, with n th term an (z - z0) n , n ranging from -∞ to ∞, and an = 1/(2π i) times the integral of ƒ(t)/ (t-z0) n +1along a simple closed curve interior to the annulus. Also known as Laurent series.
References in periodicals archive ?
Israilov, The Laurent expansion of the Riemann zeta function, Trudy Mat.
In the last ten years, much work has been done on Laurent expansion formulas for cluster algebras.
In this paper, we study the Newton polytope of the Laurent expansion of a type A cluster variable with respect to an arbitrary cluster.
12, a description of the face lattice of the Newton polytope of a Laurent expansion of any cluster variable of type [A.
In this setting, there is a generalization of the Laurent expansion formula using perfect matchings of snake graphs ([17, 18, 19]).
s-1] that we find are sums involving coefficients in the Laurent expansion of certain Dirichlet series.
2a] is the constant term in the Laurent expansion of [Z.