IN the preface to his "Elliptic Functions", written in 1892, Prof. A. G. Greenhill complained that, although the subject was then nearly seventy years old, it had not made its way into the ordinary ...

Mathematics of Computation, Vol. 43, No. 167 (Jul., 1984), pp. 69-88 (20 pages) In this paper, the problem of estimating Jacobian and Hessian matrices arising in the finite difference approximation of ...

We show that the Jacobian Jf of a quasi-conformal mapping f: Bn → D is an A∞-weight in Bn if and only if D is a John domain. A similar question concerning Jf - 1 is also studied.