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## Prévost, Marc

Compute Distance To:
 Author ID: prevost.marc Published as: Prévost, Marc; Prévost, M.; Prevost, Marc; Prevost, M. External Links: MGP
 Documents Indexed: 32 Publications since 1983
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#### Co-Authors

 18 single-authored 4 Rivoal, Tanguy 2 Matala-aho, Tapani 2 Mortreux, P. 2 Vekemans, Denis 1 Elsner, Carsten 1 Kzaz, M. 1 Matos, Ana Cristina 1 Negny, S.
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#### Serials

 9 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 3 Journal of Number Theory 3 Applied Numerical Mathematics 2 Advances in Computational Mathematics 2 The Ramanujan Journal 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 Numerische Mathematik 1 Results in Mathematics 1 Constructive Approximation 1 Integral Transforms and Special Functions
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#### Fields

 19 Approximations and expansions (41-XX) 13 Numerical analysis (65-XX) 12 Number theory (11-XX) 6 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 106 times in 79 Documents Cited by Year
A new proof of the irrationality of $$\zeta (2)$$ and $$\zeta (3)$$ using Padé approximants. Zbl 0855.11037
Prévost, M.
1996
Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1191.41005
Prévost, Marc
2010
Acceleration property for the columns of the E-algorithm. Zbl 0755.65002
Matos, Ana C.; Prévost, Marc
1992
Remainder Padé approximants for the exponential function. Zbl 1102.41016
Prévost, Marc; Rivoal, Tanguy
2007
Acceleration property for the E-algorithm and an application to the summation of series. Zbl 0828.65005
Prévost, Marc
1994
Study of a laminar falling film flowing over a wavy wall column. I: Numerical investigation of the flow pattern and the coupled heat and mass transfer. II: Experimental validation of hydrodynamic model. Zbl 0999.76019
Negny, S.; Meyer, M.; Prevost, M.
2001
Padé-type approximants with orthogonal generating polynomials. Zbl 0529.41015
Prevost, Marc
1983
Calculation of poles of meromorphic functions with q-d, r-s and $$\epsilon$$-algorithms. Acceleration of these processes. Zbl 0631.65018
Prevost, Marc
1987
Legendre modified moments for Euler’s constant. Zbl 1148.41015
Prévost, Marc
2008
Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers. Zbl 1104.11040
Matala-Aho, Tapani; Prévost, Marc
2006
Acceleration of some logarithmic sequences. Zbl 0828.65004
Prévost, Marc
1994
Dirac masses detection in a density on $$[-1, 1]$$ from its moments. Applications to singularities of a function. Zbl 0835.41020
Prévost, Marc
1991
Approximation of weight function and approached Padé approximants. Zbl 0714.41030
Prevost, Marc
1990
On the irrationality of $$\sum \frac{t^n} {A\alpha^n+ B\beta^n}$$. Zbl 0920.11044
Prévost, M.
1998
Prévost, M.; Vekemans, D.
1999
Rate of convergence of Padé approximants for a particular Wynn series. Zbl 0840.65004
Prévost, M.
1995
An acceleration property of the $$E$$-algorithm for alternate sequences. Zbl 0870.65001
Mortreux, P.; Prévost, M.
1996
Convergence acceleration of Gauss-Chebyshev quadrature formulae. Zbl 1036.65027
Kzaz, M.; Prévost, M.
2003
Irrationality measures for the series of reciprocals from recurrence sequences. Zbl 1069.11030
Matala-aho, Tapani; Prévost, Marc
2002
Expansion of Euler’s constant in terms of zeta numbers. Zbl 1323.11050
Elsner, Carsten; Prévost, Marc
2013
Recurrence for values of the zeta function. Zbl 1208.11105
Prévost, Marc
2010
Remainder Padé approximants for the Hurwitz zeta function. Zbl 1408.41008
Prévost, Marc
2019
Stieltjes- and Geronimus-type polynomials. Zbl 0632.33009
Prevost, Marc
1988
Dirac masses determination with orthogonal polynomials and $$\epsilon$$- algorithm. Application to totally monotonic sequences. Zbl 0760.42011
Prévost, Marc
1992
Determinantal expression for partial Padé approximants. Zbl 0691.41017
Prevost, Marc
1990
On totally monotonic families of sequences. Zbl 0943.65005
Mortreux, P.; Prévost, M.
1999
Approximation and prediction of the numerical solution of some Burgers problems. Zbl 1031.65111
Prévost, Marc; Vekemans, Denis
2003
Remainder Padé approximants for the Hurwitz zeta function. Zbl 1408.41008
Prévost, Marc
2019
Expansion of Euler’s constant in terms of zeta numbers. Zbl 1323.11050
Elsner, Carsten; Prévost, Marc
2013
Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1191.41005
Prévost, Marc
2010
Recurrence for values of the zeta function. Zbl 1208.11105
Prévost, Marc
2010
Legendre modified moments for Euler’s constant. Zbl 1148.41015
Prévost, Marc
2008
Remainder Padé approximants for the exponential function. Zbl 1102.41016
Prévost, Marc; Rivoal, Tanguy
2007
Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers. Zbl 1104.11040
Matala-Aho, Tapani; Prévost, Marc
2006
Convergence acceleration of Gauss-Chebyshev quadrature formulae. Zbl 1036.65027
Kzaz, M.; Prévost, M.
2003
Approximation and prediction of the numerical solution of some Burgers problems. Zbl 1031.65111
Prévost, Marc; Vekemans, Denis
2003
Irrationality measures for the series of reciprocals from recurrence sequences. Zbl 1069.11030
Matala-aho, Tapani; Prévost, Marc
2002
Study of a laminar falling film flowing over a wavy wall column. I: Numerical investigation of the flow pattern and the coupled heat and mass transfer. II: Experimental validation of hydrodynamic model. Zbl 0999.76019
Negny, S.; Meyer, M.; Prevost, M.
2001
Prévost, M.; Vekemans, D.
1999
On totally monotonic families of sequences. Zbl 0943.65005
Mortreux, P.; Prévost, M.
1999
On the irrationality of $$\sum \frac{t^n} {A\alpha^n+ B\beta^n}$$. Zbl 0920.11044
Prévost, M.
1998
A new proof of the irrationality of $$\zeta (2)$$ and $$\zeta (3)$$ using Padé approximants. Zbl 0855.11037
Prévost, M.
1996
An acceleration property of the $$E$$-algorithm for alternate sequences. Zbl 0870.65001
Mortreux, P.; Prévost, M.
1996
Rate of convergence of Padé approximants for a particular Wynn series. Zbl 0840.65004
Prévost, M.
1995
Acceleration property for the E-algorithm and an application to the summation of series. Zbl 0828.65005
Prévost, Marc
1994
Acceleration of some logarithmic sequences. Zbl 0828.65004
Prévost, Marc
1994
Acceleration property for the columns of the E-algorithm. Zbl 0755.65002
Matos, Ana C.; Prévost, Marc
1992
Dirac masses determination with orthogonal polynomials and $$\epsilon$$- algorithm. Application to totally monotonic sequences. Zbl 0760.42011
Prévost, Marc
1992
Dirac masses detection in a density on $$[-1, 1]$$ from its moments. Applications to singularities of a function. Zbl 0835.41020
Prévost, Marc
1991
Approximation of weight function and approached Padé approximants. Zbl 0714.41030
Prevost, Marc
1990
Determinantal expression for partial Padé approximants. Zbl 0691.41017
Prevost, Marc
1990
Stieltjes- and Geronimus-type polynomials. Zbl 0632.33009
Prevost, Marc
1988
Calculation of poles of meromorphic functions with q-d, r-s and $$\epsilon$$-algorithms. Acceleration of these processes. Zbl 0631.65018
Prevost, Marc
1987
Padé-type approximants with orthogonal generating polynomials. Zbl 0529.41015
Prevost, Marc
1983
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#### Cited by 80 Authors

 17 Prévost, Marc 6 Brezinski, Claude 5 Matala-aho, Tapani 5 Rivoal, Tanguy 4 He, Yuan 4 Redivo-Zaglia, Michela 2 Aksel, Nuri 2 Araci, Serkan 2 Fugère, Benoît-Jean 2 Gaboury, Sébastien 2 Graça, Mário Meireles 2 Magnus, Alphonse Ph. 2 Ndayiragije, François 2 Rasa, Ioan 2 Srivastava, Hari Mohan 2 Tremblay, Richard E. 2 Van Assche, Walter 2 Wierschem, Andreas 1 Acu, Ana Maria 1 Agoh, Takashi 1 Allouche, Hassane 1 Area, Iván 1 Bascanbaz-Tunca, Gulen 1 Belantari, A. 1 Beukers, Frits 1 Cao, Lihua 1 Choque Rivero, Abdon Eddy 1 Coussement, Jonathan 1 Cuyt, Annie A. M. 1 Darve, Félix 1 Dávalos-Orozco, L. A. 1 Dehn, Thomas 1 Eiermann, Michael 1 El Sayed, Mohamed F. 1 Eldabe, Nabil T. M. 1 Elsner, Carsten 1 Farhi, Bakir 1 Ghaly, Ahmed Y. 1 González-Vera, Pablo 1 Hamadi, Kamel 1 He, Yi 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Homeier, Herbert H. H. 1 Hu, Xingbiao 1 Huttner, Marc 1 Jiménez Paiz, Mateo M. 1 Lagarias, Jeffrey C. 1 Li, Yutian 1 Lima, Pedro Miguel 1 Lin, Yu 1 Luo, Haoxiang 1 Luo, Qiuming 1 Ma, Shi-Mei 1 Mathar, Richard J. 1 Modaressi-Farahmand Razavi, Arézou 1 Mortreux, P. 1 Popa, Dorian 1 Pozrikidis, Constantine 1 Qin, Yifan 1 Sablonnière, Paul 1 Sayed, H. M. 1 Scholle, Markus 1 Sermutlu, Emre 1 Smet, Christophe 1 Sun, Jianqing 1 Sun, Zhizhong 1 Tammeraid, Ivar 1 Tang, Shuo 1 Väänänen, Keijo O. 1 van Iseghem, Jeanette 1 Van Iseghem, Jeannette 1 Vekemans, Denis 1 Vinet, Luc 1 Wang, Chunping 1 Wang, Xuping 1 Weniger, Ernst Joachim 1 Zhedanov, Alexei S. 1 Zhu, Gongqin 1 Zudilin, Wadim
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#### Cited in 33 Serials

 19 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 5 Journal of Approximation Theory 5 Journal of Number Theory 5 The Ramanujan Journal 4 Advances in Difference Equations 3 Applied Mathematics and Computation 3 Physics of Fluids 3 Advances in Computational Mathematics 2 Mathematics of Computation 2 Applied Mathematics Letters 1 Acta Mechanica 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Notes 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Results in Mathematics 1 European Journal of Combinatorics 1 Constructive Approximation 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Archive of Applied Mechanics 1 Journal de Théorie des Nombres de Bordeaux 1 Integral Transforms and Special Functions 1 Mathematical Inequalities & Applications 1 Journal of Integer Sequences 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Discrete and Continuous Dynamical Systems. Series B 1 ISRN Applied Mathematics
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#### Cited in 21 Fields

 30 Number theory (11-XX) 25 Numerical analysis (65-XX) 24 Approximations and expansions (41-XX) 16 Special functions (33-XX) 10 Sequences, series, summability (40-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 6 Combinatorics (05-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)