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The differential-difference problem -^ (sJ(s)} + J(s + 1) = 0 (Re(s) > 0); sj(s) ->\ as i -> 0, which arises in the theory of numbers, is studied and an algorithm developed for the simultaneous numerical approximation of the derivatives Jin\s). An error bound is established for the process described and its numerical performance and stability are discussed.

An algorithm for the solution of certain differential-difference equations of advanced type