-
2
-
-
2342436635
-
The Evaluation of Integrals of Bessel Functions via G-Function Identities
-
V. Adamchik. “The Evaluation of Integrals of Bessel Functions via G-Function Identities.” Journal of Computational and Applied Mathematics 64 (1995), 283-290.
-
(1995)
Journal of Computational and Applied Mathematics
, vol.64
, pp. 283-290
-
-
Adamchik, V.1
-
5
-
-
0001934611
-
Irrationalité de ζ(2) et ζ(3)
-
R. Apéry. “Irrationalité de ζ(2) et ζ(3).” Astérisque 61 (1979), 11-13.
-
(1979)
Astérisque
, vol.61
, pp. 11-13
-
-
Apéry, R.1
-
8
-
-
13644253110
-
-
Preprint, available online
-
David H. Bailey, Yozo Hida, Xiaoye S. Li, and Brandon Thompson. “ARPREC: An Arbitrary Precision Computation Package.” Preprint, available online (http://crd.lbl.gov/∼dhbailey/dhbpapers/arprec.pdf), 2002.
-
(2002)
ARPREC: An Arbitrary Precision Computation Package
-
-
Bailey, D.H.1
Hida, Y.2
Li, X.S.3
Thompson, B.4
-
9
-
-
27844549343
-
A Comparison of Three High-Precision Quadrature Schemes
-
David H. Bailey, Xiaoye S. Li, and Karthik Jeyabalan. “A Comparison of Three High-Precision Quadrature Schemes.” Experimental Mathematics 14 (2005), 317-329.
-
(2005)
Experimental Mathematics
, vol.14
, pp. 317-329
-
-
Bailey, D.H.1
Li, X.S.2
Jeyabalan, K.3
-
12
-
-
33751549978
-
Hypergeometric Summation Algorithms for High-Order Finite Elements
-
A. Bécirovíc, P. Paule, V. Pillwein, A. Riese, C. Schneider, J. Schöberl. “Hypergeometric Summation Algorithms for High-Order Finite Elements.” Computing 78: 3 (2006), 235-249.
-
(2006)
Computing
, vol.78
, Issue.3
, pp. 235-249
-
-
Bécirovíc, A.1
Paule, P.2
Pillwein, V.3
Riese, A.4
Schneider, C.5
Schöberl, J.6
-
14
-
-
85023922495
-
-
To appear in American Mathematical Monthly. D-drive Preprint #309, available online
-
J. M. Borwein. “Hilbert Inequalities and Witten Zeta-Functions.” To appear in American Mathematical Monthly. D-drive Preprint #309, available online (http://locutus.cs.dal.ca:8088/archive/00000309/), 2005.
-
(2005)
Hilbert Inequalities and Witten Zeta-Functions
-
-
Borwein, J.M.1
-
17
-
-
0042332044
-
Polynomial Continued Fractions
-
D. Bowman and J. McLaughlin. “Polynomial Continued Fractions.” Acta Arithmetica 103 (2002), 329-342.
-
(2002)
Acta Arithmetica
, vol.103
, pp. 329-342
-
-
Bowman, D.1
McLaughlin, J.2
-
19
-
-
0034273101
-
Computational Strategies for the Riemann Zeta Function
-
(special volume “Numerical Analysis in the 20th Century, Vol. 1: Approximation Theory”)
-
Jonathan M. Borwein, David M. Bradley, and Richard E. Crandall. “Computational Strategies for the Riemann Zeta Function.” Journal of Computational and Applied Mathematics (special volume “Numerical Analysis in the 20th Century, Vol. 1: Approximation Theory”) 121 (2000), 247-296.
-
(2000)
Journal of Computational and Applied Mathematics
, vol.121
, pp. 247-296
-
-
Borwein, J.M.1
Bradley, D.M.2
Crandall, R.E.3
-
22
-
-
28444457322
-
Lifting the Curse of Dimensionality
-
Frances Y. Kuo and Ian H. Sloan. “Lifting the Curse of Dimensionality.” Notices of the AMS 52: 11 (2005), 1320-1329.
-
(2005)
Notices of the AMS
, vol.52
, Issue.11
, pp. 1320-1329
-
-
Kuo, F.Y.1
Sloan, I.H.2
-
23
-
-
85023903369
-
Polylogarithms and Associated Functions
-
L. Lewin. Polylogarithms and Associated Functions. Amsterdam: North Holland, 1981.
-
(1981)
Amsterdam: North Holland
-
-
Lewin, L.1
-
26
-
-
0030210784
-
Shells of Atoms
-
T. P. Martin, “Shells of Atoms.” Phys. Reports, 273 (1996), 199-241.
-
(1996)
Phys. Reports
, vol.273
, pp. 199-241
-
-
Martin, T.P.1
-
28
-
-
0033612075
-
On the Singularity Structure of the 2D Ising Model Susceptibility
-
B. Nickel, “On the Singularity Structure of the 2D Ising Model Susceptibility.” Journal of Physics A: Mathematics and General 32 (1999), 3889-3906.
-
(1999)
Journal of Physics A: Mathematics and General
, vol.32
, pp. 3889-3906
-
-
Nickel, B.1
-
31
-
-
0000433366
-
Two-Dimensional Ising Correlations: Convergence of the Scaling Limit
-
J. Palmer and C. Tracy. “Two-Dimensional Ising Correlations: Convergence of the Scaling Limit.” Advances in Applied Mathematics 2 (1981), 329-388.
-
(1981)
Advances in Applied Mathematics
, vol.2
, pp. 329-388
-
-
Palmer, J.1
Tracy, C.2
-
32
-
-
0030102978
-
A New Proof of the Irrationality of ζ(2) and ζ(3) using Padé Approximants
-
M. Prévost. “A New Proof of the Irrationality of ζ(2) and ζ(3) using Padé Approximants.” Journal of Computational and Applied Mathematics 67 (1996), 219-235.
-
(1996)
Journal of Computational and Applied Mathematics
, vol.67
, pp. 219-235
-
-
Prévost, M.1
-
35
-
-
85023914442
-
-
Unpublished notes
-
C. Tracy. Unpublished notes, 1976.
-
(1976)
-
-
Tracy, C.1
-
36
-
-
26844489990
-
Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Model
-
edited by A. O. Barut, Dordrecht: D. Reidel
-
C. A. Tracy, “Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Model.” In Nonlinear Equations in Physics and Mathematics, edited by A. O. Barut, pp. 378-380. Dordrecht: D. Reidel, 1978.
-
(1978)
Nonlinear Equations in Physics and Mathematics
, pp. 378-380
-
-
Tracy, C.A.1
-
38
-
-
0002145526
-
A Proof that Euler Missed: Apérys Proof of the Irrationality of ζ(3)
-
A. J. van der Poorten. “A Proof that Euler Missed: Apéry’s Proof of the Irrationality of ζ(3).” Mathematical Intelligencer 1: 4 (1978/79), 195-203.
-
(1978)
Mathematical Intelligencer
, vol.1
, Issue.4
, pp. 195-203
-
-
Van Der Poorten, A.J.1
-
40
-
-
0001169022
-
An Algorithmic Proof Theory for Hypergeometric (Ordinary and ‘q) Multisum/Integral Identities
-
H. Wilf and D. Zeilberger “An Algorithmic Proof Theory for Hypergeometric (Ordinary and ‘q’) Multisum/Integral Identities.” Inventiones Mathematicae 108 (1992), 575-63.
-
(1992)
Inventiones Mathematicae
, vol.108
, pp. 575-663
-
-
Wilf, H.1
Zeilberger, D.2
-
41
-
-
0000715867
-
Spin-Spin Correlation Functions for the Two-Dimensional Ising Model: Exact Theory in the Scaling Region
-
T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch. “Spin-Spin Correlation Functions for the Two-Dimensional Ising Model: Exact Theory in the Scaling Region.” Physical Review B13 (1976), 316-374.
-
(1976)
Physical Review
, vol.B13
, pp. 316-374
-
-
Wu, T.T.1
McCoy, B.M.2
Tracy, C.A.3
Barouch, E.4
-
42
-
-
26844459130
-
Square Lattice Ising Susceptibility: Connection Matrices and Singular Behaviour of χ(3) and χ(4)
-
N. Zenine, S. Boukraa, S. Hassani and J.-M. Maillard, “Square Lattice Ising Susceptibility: Connection Matrices and Singular Behaviour of χ(3) and χ(4).” Journal of Physics A: Mathematical and General 38 (2005), 9439-9474.
-
(2005)
Journal of Physics A: Mathematical and General
, vol.38
, pp. 9439-9474
-
-
Zenine, N.1
Boukraa, S.2
Hassani, S.3
Maillard, J.-M.4
-
44
-
-
33745312520
-
Beyond Series Expansions: Mathematical Structures for the Susceptibility of the Square Lattice Ising Model
-
N. Zenine, S. Boukraa, S. Hassani, and J.-M. Maillard. “Beyond Series Expansions: Mathematical Structures for the Susceptibility of the Square Lattice Ising Model.” J. Physics: Conference Series 42 (2006), 281-299.
-
(2006)
J. Physics: Conference Series
, vol.42
, pp. 281-299
-
-
Zenine, N.1
Boukraa, S.2
Hassani, S.3
Maillard, J.-M.4
-
45
-
-
38549107259
-
Difference Equations and the Irrationality Measure of Numbers
-
W. Zudilin. “Difference Equations and the Irrationality Measure of Numbers.” Proceedings of the Steklov Institute of Mathematics 218 (1997), 160-174.
-
(1997)
Proceedings of the Steklov Institute of Mathematics
, vol.218
, pp. 160-174
-
-
Zudilin, W.1
-
48
-
-
3042619680
-
An Apéry-like Difference Equation for Catalans Constant
-
W. Zudilin. “An Apéry-like Difference Equation for Catalan’s Constant.” Electronic Journal of Combinatorics #R14 (2003), 1-10.
-
(2003)
Electronic Journal of Combinatorics #R14
, pp. 1-10
-
-
Zudilin, W.1
|