## Levrie, Paul

Compute Distance To:
 Author ID: levrie.paul Published as: Levrie, Paul; Levrie, P. External Links: MGP
 Documents Indexed: 31 Publications since 1986 1 Contribution as Editor Co-Authors: 12 Co-Authors with 19 Joint Publications 307 Co-Co-Authors
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### Co-Authors

 13 single-authored 6 Bultheel, Adhemar François 5 Nimbran, Amrik Singh 2 Daems, Walter 2 Penne, Rudi 2 Piessens, Robert 2 Van Barel, Marc 1 Campbell, John Maxwell 1 Dierckx, Stijn 1 González-Vera, Pablo 1 Jacobsen, Lisa 1 Sofo, Anthony 1 Van Assche, Walter
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### Serials

 7 Journal of Computational and Applied Mathematics 3 The Mathematical Intelligencer 3 Nieuw Archief voor Wiskunde. Vijfde Serie 2 Mathematics Magazine 2 Applied Numerical Mathematics 2 The Ramanujan Journal 1 American Mathematical Monthly 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 The Mathematical Gazette 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Numerical Algorithms 1 ETNA. Electronic Transactions on Numerical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Classical Analysis
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### Fields

 13 Numerical analysis (65-XX) 11 Sequences, series, summability (40-XX) 8 Number theory (11-XX) 5 Special functions (33-XX) 4 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 57 times in 44 Documents Cited by Year
Using Fourier-Legendre expansions to derive series for $$\frac{1}{\pi}$$ and $$\frac{1}{\pi^{2}}$$. Zbl 1203.30005
Levrie, Paul
2010
Pringsheim’s theorem for generalized continued fractions. Zbl 0596.40003
Levrie, Paul
1986
Convergence acceleration for Miller’s algorithm. Zbl 0715.65100
Levrie, Paul; Piessens, Robert
1988
Matrix continued fractions related to first-order linear recurrence systems. Zbl 0860.65128
Levrie, P.; Bultheel, A.
1996
Evaluating the probability integral using Wallis’s product formula for $$\pi$$. Zbl 1229.26022
Levrie, Paul; Daems, Walter
2009
On the relationship between generalised continued fractions and G- continued fractions. Zbl 0723.40003
Levrie, Paul
1990
A note on two convergence acceleration methods for ordinary continued fractions. Zbl 0659.65002
Levrie, Paul; Bultheel, Adhemar
1988
Pringsheim’s theorem revisited. Zbl 0671.40003
Levrie, Paul
1989
Improving a method for computing non-dominant solutions of certain second-order recurrence relations of Poincaré-type. Zbl 0679.65094
Levrie, Paul
1989
Convergence acceleration for the numerical solution of second-order linear recurrence relations. Zbl 0693.65089
Levrie, Paul; Bultheel, Adhemar
1990
$$G$$-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type. Zbl 0743.65003
Levrie, Paul
1991
A note on Thiele $$n$$-fractions. Zbl 0764.41011
Levrie, Paul; Bultheel, Adhemar
1993
A note on the relation between two convergence acceleration methods for ordinary continued fractions. Zbl 0944.65002
Levrie, Paul; Bultheel, Adhemar
1999
Special issue: Rolling waves in Leuven 2008. A international workshop on the occasion of Adhemar Bultheel’s 60th birthday. Selected papers based on the presentations at the workshop, Leuven, Belgium, December 15–16, 2008. Zbl 1205.65013
2010
Convergence acceleration for generalized continued fractions. Zbl 0636.65001
Levrie, Paul; Jacobsen, Lisa
1988
Stirred, not shaken, by Stirling’s formula. Zbl 1227.97051
Levrie, Paul
2011
Using QR-decompositions in the numerical solution of linear recurrence relations. Zbl 0678.65091
Levrie, Paul; Piessens, Robert
1990
A straightforward proof of Descartes’s circle theorem. Zbl 1428.51009
Levrie, Paul
2019
Some continued fractions for $$\pi$$ and $$G$$. Zbl 1400.11020
Nimbran, Amrik Singh; Levrie, Paul
2017
A straightforward proof of Descartes’s circle theorem. Zbl 1428.51009
Levrie, Paul
2019
Some continued fractions for $$\pi$$ and $$G$$. Zbl 1400.11020
Nimbran, Amrik Singh; Levrie, Paul
2017
Stirred, not shaken, by Stirling’s formula. Zbl 1227.97051
Levrie, Paul
2011
Using Fourier-Legendre expansions to derive series for $$\frac{1}{\pi}$$ and $$\frac{1}{\pi^{2}}$$. Zbl 1203.30005
Levrie, Paul
2010
Special issue: Rolling waves in Leuven 2008. A international workshop on the occasion of Adhemar Bultheel’s 60th birthday. Selected papers based on the presentations at the workshop, Leuven, Belgium, December 15–16, 2008. Zbl 1205.65013
2010
Evaluating the probability integral using Wallis’s product formula for $$\pi$$. Zbl 1229.26022
Levrie, Paul; Daems, Walter
2009
A note on the relation between two convergence acceleration methods for ordinary continued fractions. Zbl 0944.65002
Levrie, Paul; Bultheel, Adhemar
1999
Matrix continued fractions related to first-order linear recurrence systems. Zbl 0860.65128
Levrie, P.; Bultheel, A.
1996
A note on Thiele $$n$$-fractions. Zbl 0764.41011
Levrie, Paul; Bultheel, Adhemar
1993
$$G$$-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type. Zbl 0743.65003
Levrie, Paul
1991
On the relationship between generalised continued fractions and G- continued fractions. Zbl 0723.40003
Levrie, Paul
1990
Convergence acceleration for the numerical solution of second-order linear recurrence relations. Zbl 0693.65089
Levrie, Paul; Bultheel, Adhemar
1990
Using QR-decompositions in the numerical solution of linear recurrence relations. Zbl 0678.65091
Levrie, Paul; Piessens, Robert
1990
Pringsheim’s theorem revisited. Zbl 0671.40003
Levrie, Paul
1989
Improving a method for computing non-dominant solutions of certain second-order recurrence relations of Poincaré-type. Zbl 0679.65094
Levrie, Paul
1989
Convergence acceleration for Miller’s algorithm. Zbl 0715.65100
Levrie, Paul; Piessens, Robert
1988
A note on two convergence acceleration methods for ordinary continued fractions. Zbl 0659.65002
Levrie, Paul; Bultheel, Adhemar
1988
Convergence acceleration for generalized continued fractions. Zbl 0636.65001
Levrie, Paul; Jacobsen, Lisa
1988
Pringsheim’s theorem for generalized continued fractions. Zbl 0596.40003
Levrie, Paul
1986
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### Cited by 45 Authors

 9 Levrie, Paul 4 Hanschke, Thomas 3 Baumann, Hendrik 3 Campbell, John Maxwell 3 Chu, Wenchang 3 D’Aurizio, Jacopo 2 Bowman, Douglas C. 2 Bultheel, Adhemar François 2 Choi, Geumlan 2 de Bruin, Marcel G. 2 Demkiv, I. I. 2 Liu, Zhi-Guo 2 Makarov, Volodymyr Leonidovych 2 Sondow, Jonathan D. 1 Avram, Florin 1 Barrio, Roberto 1 Cantarini, Marco 1 Chang, Xiangke 1 Chen, Hongwei 1 Cristea, Valentin Gabriel 1 Di Biase, Fausto 1 Fatawat, Kalpana 1 Gong, Dianxuan 1 Guo, Victor J. W. 1 Hammett, Adam 1 Hasegawa, Takemitsu 1 He, Yi 1 Holly, Jan E. 1 Khan, Rasul A. 1 López Lagomasino, Guillermo Tomás 1 Lorentzen, Lisa 1 Marcellán Español, Francisco 1 Matei, Daniel 1 Mortici, Cristinel 1 Nimbran, Amrik Singh 1 Njåstad, Olav 1 Orive Rodríguez, Ramón Angel 1 Sofo, Anthony 1 Srivastava, Hari Mohan 1 Sun, Yepeng 1 Torii, Tatsuo 1 Vyas, Yashoverdhan 1 Wei, Chuanan 1 Zhang, Wenlong 1 Zudilin, Wadim
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### Cited in 28 Serials

 6 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 2 American Mathematical Monthly 2 Indian Journal of Pure & Applied Mathematics 2 Mathematics of Computation 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 The Ramanujan Journal 2 Advances in Difference Equations 1 The Mathematical Gazette 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Cybernetics and Systems Analysis 1 Integral Transforms and Special Functions 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 European Mathematical Society Newsletter 1 Journal of Integer Sequences 1 Communications of the Korean Mathematical Society 1 Journal of Applied Mathematics 1 International Journal of Number Theory 1 The College Mathematics Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bollettino dell’Unione Matematica Italiana
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### Cited in 20 Fields

 18 Special functions (33-XX) 17 Sequences, series, summability (40-XX) 12 Number theory (11-XX) 12 Numerical analysis (65-XX) 6 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)