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We calculate the logarithmic contributions to the massive Wilson coefficientsfor deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-looporder in the fixed-flavor number scheme and present the correspondingexpressions for the massive operator matrix elements needed in the variableflavor number scheme. Explicit expressions are given both in Mellin-$N$ spaceand $z$-space.

european physical journal. c, particles and fields

The Logarithmic Contributions to the O(\alpha_s^3) Asymptotic Massive  Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic  Scattering