The asymptotic expansion of $n$-dimensional cyclic integrals was expressed as a series of functionals acting on the symmetric function involved in the cyclic integral. In this article, we give an explicit formula for the action of these functionals on a specific class of symmetric functions. These results are necessary for the computation of the O(1) part in the long-distance asymptotic behavior of correlation functions in integrable models.
Asymptotic Expansion of the Heat Kernel Trace of Laplacians with Polynomial Potentials
Evaluation of Some Integrals Following from $L_1$, the Constant of the Asymptotic Expansion of $\ln Γ_1 (x+1)$, Originating from Physics (QED)
Asymptotic Expansion of the Eigenvalues of a Bathtub Potential with Quadratic Ends
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