Derives asymptotic expansions for integrals ∫ f(u) (1 + q u^n)^{w/n} du as n→∞ with coefficients in Nielsen polylogarithms, reducing to zeta values via symmetry for q=1 and to ordinary zetas for q=-1.
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Asymptotic expansions of integrals and Nielsen's polylogarithms
Derives asymptotic expansions for integrals ∫ f(u) (1 + q u^n)^{w/n} du as n→∞ with coefficients in Nielsen polylogarithms, reducing to zeta values via symmetry for q=1 and to ordinary zetas for q=-1.