Functional vlues of function f are determined from the vlues F(s) of its Laplace transform at discrete points of s. Evaluation of F(s) t points given by s (8 -1 /),/c 0, 1, determine coefficients in an infinite series expansion of f(t) in terms of Jacobi polynomials. The vlues of and determine the position along the rel s-xis at which F(s) is evaluated. An approximation to f(t) is given by using finite number of terms of the infinite series expansion of f(t).Numerical examples are given and results are compared with some known rmmerical methods for pproximating f(t).Introduction. The problem of numericMly inverting the Laplace transform is known to mthemticins, physicists, nd engineers nd hs been

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