Marc Prévost
- Grade : Professeur émérite
- Equipe : Approximation
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais - Bureau : B002
- Email : Marc.Prevost@univ-littoral.fr
- Téléphone : +33 3 21 46 55 89
Publications
Articles de revues
- Applications of Padé approximation to Euler's constant and Stirling's formula (), In Ramanujan J., volume 51, -, 2020.
- Remainder Padé approximants for the Hurwitz zeta function (), In Results Math., volume 74, 51-22, 2019.
- Expansion of Euler's constant in terms of zeta numbers (), In J. Math. Anal. Appl., volume 398, 508-526, 2013.
- Series involving zeta and related functions (), In Appl. Math. Comput., volume 217, 5307-5317, 2011.
- Recurrence for values of the zeta function (), In Appl. Numer. Math., volume 60, 1382-1394, 2010.
- Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials (), In J. Comput. Appl. Math., volume 233, 3005-3017, 2010.
- Legendre modified moments for Euler's constant (), In J. Comput. Appl. Math., volume 219, 484-492, 2008.
- International conference on approximation and iterative methods (), In J. Comput. Appl. Math., volume 219, 327-328, 2008.
- Remainder Padé approximants for the exponential function (), In Constr. Approx., volume 25, 109-123, 2007.
- Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers (), In Ramanujan J., volume 11, 249-261, 2006.
- Hermite-Padé approximations and Apéry's theorem (), In Vestnik Moskov. Univ. Ser. I Mat. Mekh., 6-10, 2005.
- Convergence acceleration of Gauss-Chebyshev quadrature formulae (), In Numer. Algorithms, volume 34, 379-391, 2003.
- Approximation and prediction of the numerical solution of some Burgers problems (), In Numer. Algorithms, volume 33, 421-431, 2003.
- Irrationality measures for the series of reciprocals from recurrence sequences (), In J. Number Theory, volume 96, 275-292, 2002.
- Diophantine approximations using Padé approximations (), In J. Comput. Appl. Math., volume 122, 231-250, 2000.
- On totally monotonic families of sequences (), In Numer. Math., volume 84, 71-96, 1999.
- Partial Padé prediction (), In Numer. Algorithms, volume 20, 23-50, 1999.
- An acceleration property of the $E$-algorithm for alternate sequences (), In Adv. Comput. Math., volume 5, 443-482, 1996.
- A new proof of the irrationality of $\zeta(2)$ and $\zeta(3)$ using Padé approximants (), In J. Comput. Appl. Math., volume 67, 219-235, 1996.
- Rate of convergence of Padé approximants for a particular Wynn series (), In Appl. Numer. Math., volume 17, 461-469, 1995.
- Acceleration of some logarithmic sequences (), In J. Comput. Appl. Math., volume 55, 357-367, 1994.
- Acceleration property for the $E$-algorithm and an application to the summation of series (), In Adv. Comput. Math., volume 2, 319-341, 1994.
- Dirac masses determination with orthogonal polynomials and $\epsilon$-algorithm. Application to totally monotonic sequences (), In J. Approx. Theory, volume 71, 175-192, 1992.
- Acceleration property for the columns of the $E$-algorithm (), In Numer. Algorithms, volume 2, 393-408, 1992.
- Approximation of weight function and approached Padé approximants (), In J. Comput. Appl. Math., volume 32, 237-252, 1990.
- Determinantal expression for partial Padé approximants (), In Appl. Numer. Math., volume 6, 221-224, 1990.
- Stieltjes- and Geronimus-type polynomials (), In J. Comput. Appl. Math., volume 21, 133-144, 1988.
- Calculation of poles of meromorphic functions with q-d, r-s and $\epsilon$-algorithms. Acceleration of these processes (), In J. Comput. Appl. Math., volume 19, 89-98, 1987.
- Padé-type approximants with orthogonal generating polynomials (), In J. Comput. Appl. Math., volume 9, 333-346, 1983.
Chapitres de livres
- Dirac masses detection in a density on $[-1,1]$ from its moments. Applications to singularities of a function (), Chapter in Orthogonal polynomials and their applications (Erice, 1990), Baltzer, volume 9, 365-372, 1991.
Rapports
- Euler's constant, Padé approximants and Bernouilli numbers (), Technical report 602, LMPA, 2019.
- Remainder Padé approximants for hypergeometric series (), Technical report 601, LMPA, 2019.
- Series associated with the zeta and related functions (), Technical report 425, LMPA, 2010.
- Recurrence for values of the zeta function (), Technical report 424, LMPA, 2010.
- Padé Approximation and Apostol-Bernoulli and -Euler Polynomials (), Technical report 398, LMPA, 2009.
- Short and Lacunary Linear Recurrence Relations for Bernoulli Numbers (), Technical report 397, LMPA, 2009.
- Expansion of Euler's Constant in Terms of Zeta Numbers (), Technical report 388, LMPA, 2009.
- Legendre modified moments for Euler's constant (), Technical report 334, LMPA, 2007.
- Hermite-Padé Approximants and Apery Theorem (), Technical report 326, LMPA, 2007.
- A Family of Criteria for Irrationality of Euler's Constant (), Technical report 253, LMPA, 2005.
- Remainder Padé Approximants for the Exponential Function (), Technical report 238, LMPA, 2005.
- Convergence acceleration of Gauss-Chebyshev quadrature formulae (), Technical report 178, LMPA, 2003.
- Quantitative irrationality for series containing arithmetical forms (), Technical report 174, LMPA, 2002.
- Approximation and prediction of the numerical solution of some Burgers problems (), Technical report 150, LMPA, 2001.
- Irrationality measures for the series of reciprocals from recurrence sequences (), Technical report 139, LMPA, 2000.
- Diophantine approximations using Padé approximations (), Technical report 115, LMPA, 1999.