Approximations rationnelles des valeurs de la fonction Gamma aux rationnels

AbstractAs a corollary of a more general result, we present new rational approximations un/vn to the value of the Gamma function at a given rational point, where un and vn are solutions of a linear recurrence of order 3 with polynomials coefficients

Grand Valley Forum, volume 025, number 30, March 6, 2001

Grand Valley Forum is Grand Valley State\u27s faculty and staff newsletter, published from 1976 to the present

Efficient Algorithms for Mixed Creative Telescoping

Creative telescoping is a powerful computer algebra paradigm -initiated by Doron Zeilberger in the 90's- for dealing with definite integrals and sums with parameters. We address the mixed continuous-discrete case, and focus on the integration of bivariate hypergeometric-hyperexponential terms. We design a new creative telescoping algorithm operating on this class of inputs, based on a Hermite-like reduction procedure. The new algorithm has two nice features: it is efficient and it delivers, for a suitable representation of the input, a minimal-order telescoper. Its analysis reveals tight bounds on the sizes of the telescoper it produces.Comment: To be published in the proceedings of ISSAC'1