-
2
-
-
33748957944
-
Integrals of the Ising class
-
D. H. BAILEY, J. M. BORWEIN, AND R. E. CRANDALL, Integrals of the Ising class, J. Phys. A, 39 (2006), pp. 12271-12302.
-
(2006)
J. Phys. A
, vol.39
, pp. 12271-12302
-
-
BAILEY, D.H.1
BORWEIN, J.M.2
CRANDALL, R.E.3
-
3
-
-
38749137011
-
The evaluation of Bessel functions via exp-arc integrals
-
D. BORWEIN, J. BORWEIN, AND O-Y. CHAN, The evaluation of Bessel functions via exp-arc integrals, J. Math. Anal. Appl., 341 (2008), pp. 478-500.
-
(2008)
J. Math. Anal. Appl
, vol.341
, pp. 478-500
-
-
BORWEIN, D.1
BORWEIN, J.2
CHAN, O.-Y.3
-
4
-
-
33845773294
-
On the dynamics of certain recurrence relations
-
D. BORWEIN, J. BORWEIN, R. CRANDALL, AND R. MAYER, On the dynamics of certain recurrence relations, Ramanujan J., 13 (2007), pp. 65-104.
-
(2007)
Ramanujan J
, vol.13
, pp. 65-104
-
-
BORWEIN, D.1
BORWEIN, J.2
CRANDALL, R.3
MAYER, R.4
-
6
-
-
84865758062
-
-
J. BORWEIN AND M. CHAMBERLAND, Integer powers of Arcsin, Int. J. Math. Math. Sci., 2007, Article ID 19381, http://www.hindawi.com/GetArticle/aspx?doi=10.1155/2007/19381.
-
J. BORWEIN AND M. CHAMBERLAND, Integer powers of Arcsin, Int. J. Math. Math. Sci., 2007, Article ID 19381, http://www.hindawi.com/GetArticle/aspx?doi=10.1155/2007/19381.
-
-
-
-
7
-
-
13244287856
-
On the Ramanujan AGM fraction
-
Experiment. Math
-
J. BORWEIN, R. CRANDALL, AND G. FEE, On the Ramanujan AGM fraction. Part I: The real-parameter case, Experiment. Math., 13 (2004), pp. 275-286.
-
(2004)
The real-parameter case
, Issue.PART I
-
-
BORWEIN, J.1
CRANDALL, R.2
FEE, G.3
-
8
-
-
13244277634
-
On the Ramanujan AGM fraction. Part II: The complex-parameter Case
-
J. BORWEIN AND R. CRANDALL, On the Ramanujan AGM fraction. Part II: The complex-parameter Case, Experiment. Math., 13 (2004), pp. 287-296.
-
(2004)
Experiment. Math
, vol.13
, pp. 287-296
-
-
BORWEIN, J.1
CRANDALL, R.2
-
9
-
-
0032207908
-
Strong asymptotics for Laguerre polynomials with varying weights
-
C. BOSBACH AND W. GAWRONSKI, Strong asymptotics for Laguerre polynomials with varying weights, J. Comput. Appl. Math., 99 (1998), pp. 77-89.
-
(1998)
J. Comput. Appl. Math
, vol.99
, pp. 77-89
-
-
BOSBACH, C.1
GAWRONSKI, W.2
-
12
-
-
55349122110
-
-
R. CRANDALL, Alternatives to the Riemann-Siegel formula, http://www.rccd.edu/~crandall,2008, preprint.
-
R. CRANDALL, Alternatives to the Riemann-Siegel formula, http://www.rccd.edu/~crandall,2008, preprint.
-
-
-
-
13
-
-
3242827875
-
A class of exactly soluble three-body problems
-
R. CRANDALL, R. BETTEGA, AND R. WHITNELL, A class of exactly soluble three-body problems, J. Chem. Phys., 83 (1985), pp. 698-702.
-
(1985)
J. Chem. Phys
, vol.83
, pp. 698-702
-
-
CRANDALL, R.1
BETTEGA, R.2
WHITNELL, R.3
-
14
-
-
0005630803
-
Exactly soluble two-electron atomic model
-
R. CRANDALL, R. WHITNELL, AND R. BETTEGA, Exactly soluble two-electron atomic model, Amer. J. Phys., 52 (1984), pp. 438-442.
-
(1984)
Amer. J. Phys
, vol.52
, pp. 438-442
-
-
CRANDALL, R.1
WHITNELL, R.2
BETTEGA, R.3
-
15
-
-
0036808716
-
Strong approximation of eigenvalues of large dimensional Wishart matrices by roots of generalized Laguerre polynomials
-
H. DETTE, Strong approximation of eigenvalues of large dimensional Wishart matrices by roots of generalized Laguerre polynomials, J. Approx. Theory, 118 (2002), pp. 290-304.
-
(2002)
J. Approx. Theory
, vol.118
, pp. 290-304
-
-
DETTE, H.1
-
16
-
-
55349140316
-
-
A. ERDÉLYI, Asymptotic forms for Laguerre polynomials, J. Indian Math. Soc., Golden Jubilee Commemoration 24 (1960), pp. 235-250.
-
A. ERDÉLYI, Asymptotic forms for Laguerre polynomials, J. Indian Math. Soc., Golden Jubilee Commemoration Volume, 24 (1960), pp. 235-250.
-
-
-
-
17
-
-
0010600681
-
Explicit bounds for Hermite polynomials in the oscillatory region
-
W. FOSTER AND I. KRASIKOV, Explicit bounds for Hermite polynomials in the oscillatory region, LMS J. Comput. Math., 3 (2000), pp. 307-314.
-
(2000)
LMS J. Comput. Math
, vol.3
, pp. 307-314
-
-
FOSTER, W.1
KRASIKOV, I.2
-
18
-
-
0000093146
-
Uniform asymptotic expansions of Laguerre polynomials
-
C. L. FRENZEN AND R. WONG, Uniform asymptotic expansions of Laguerre polynomials, SIAM J. Math. Anal., 19 (1988), pp. 1232-1248.
-
(1988)
SIAM J. Math. Anal
, vol.19
, pp. 1232-1248
-
-
FRENZEN, C.L.1
WONG, R.2
-
19
-
-
55349119805
-
-
P. HENRICI, Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continued Fractions, 2 (Classics Library), John Wiley, New York, 1974 (reprint 1988).
-
P. HENRICI, Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continued Fractions, Vol. 2 (Classics Library), John Wiley, New York, 1974 (reprint 1988).
-
-
-
-
22
-
-
55349120434
-
-
A. KUIJLAARS AND K. MCLAUGHLIN, Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter, Comput. Methods Func. Theory, 1 (2001), pp. 205-233.
-
A. KUIJLAARS AND K. MCLAUGHLIN, Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter, Comput. Methods Func. Theory, 1 (2001), pp. 205-233.
-
-
-
-
23
-
-
0000279977
-
Approximations of orthogonal polynomials in terms of Hermite polynomials
-
J. LÓPEZ AND N. TEMME, Approximations of orthogonal polynomials in terms of Hermite polynomials, Methods Appl. Anal., 6 (1999), pp. 131-146.
-
(1999)
Methods Appl. Anal
, vol.6
, pp. 131-146
-
-
LÓPEZ, J.1
TEMME, N.2
-
25
-
-
34247603820
-
Inequalities for Laguerre functions
-
E. LOVE, Inequalities for Laguerre functions, J. Inequal. Appl., 1 (1997), pp. 293-299.
-
(1997)
J. Inequal. Appl
, vol.1
, pp. 293-299
-
-
LOVE, E.1
-
26
-
-
0014767735
-
Why steepest descents?
-
F. OLVER, Why steepest descents? SIAM Rev., 12 (1970), pp. 228-247.
-
(1970)
SIAM Rev
, vol.12
, pp. 228-247
-
-
OLVER, F.1
-
28
-
-
55349118074
-
-
private communication
-
R. B. PARIS, private communication, 2007.
-
(2007)
-
-
PARIS, R.B.1
-
29
-
-
2442426040
-
On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals
-
R. B. PARIS, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable, J. Comput. Appl. Math., 167 (2004), pp. 293-319.
-
(2004)
I: Real variable, J. Comput. Appl. Math
, vol.167
, pp. 293-319
-
-
PARIS, R.B.1
-
30
-
-
2442560106
-
On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals
-
R. B. PARIS, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable, J. Comput. Appl. Math., 167 (2004), pp. 321-343.
-
(2004)
II: Complex variable, J. Comput. Appl. Math
, vol.167
, pp. 321-343
-
-
PARIS, R.B.1
-
31
-
-
55349116660
-
On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals
-
to appear
-
R. B. PARIS, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. III: Clusters of saddles, J. Comput. Appl. Math., to appear.
-
III: Clusters of saddles, J. Comput. Appl. Math
-
-
PARIS, R.B.1
-
32
-
-
55349105384
-
On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals
-
to appear
-
R. B. PARIS, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. IV: Poles, Comput. Appl. Math., to appear.
-
IV: Poles, Comput. Appl. Math
-
-
PARIS, R.B.1
-
33
-
-
17144382795
-
Exactification of the method of steepest descents: The Bessel functions of large order and argument
-
R. B. PARIS, Exactification of the method of steepest descents: The Bessel functions of large order and argument, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 460 (2004), pp. 2737-2759.
-
(2004)
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci
, vol.460
, pp. 2737-2759
-
-
PARIS, R.B.1
-
34
-
-
26844529337
-
Hadamard expansions for integrals with saddles coalescing with an endpoint
-
R. B. PARIS AND D. KAMINSKI, Hadamard expansions for integrals with saddles coalescing with an endpoint, Appl. Math. Lett., 18 (2005), pp. 1389-1395.
-
(2005)
Appl. Math. Lett
, vol.18
, pp. 1389-1395
-
-
PARIS, R.B.1
KAMINSKI, D.2
-
36
-
-
0003217929
-
Orthogonal Polynomials
-
4th ed, American Mathematical Society, Providence, RI
-
G. SZEGÖ, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., 4th ed., 23, American Mathematical Society, Providence, RI, 1975.
-
(1975)
Amer. Math. Soc. Colloq. Publ
, pp. 23
-
-
SZEGÖ, G.1
-
37
-
-
0010957220
-
Asymptotic estimates of Stirling numbers
-
N. TEMME, Asymptotic estimates of Stirling numbers, Stud. Appl. Math., 89 (1993), pp. 223-243.
-
(1993)
Stud. Appl. Math
, vol.89
, pp. 223-243
-
-
TEMME, N.1
-
38
-
-
55349135463
-
-
private communication
-
N. TEMME, private communication, 2006.
-
(2006)
-
-
TEMME, N.1
-
39
-
-
55349121430
-
-
S. THANGAVELU, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton University Press, Princeton, N.J., 1993.
-
S. THANGAVELU, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton University Press, Princeton, N.J., 1993.
-
-
-
-
41
-
-
0011533475
-
Weighted zero distribution for polynomials orthogonal on an infinite interval
-
W. VAN ASSCHE, Weighted zero distribution for polynomials orthogonal on an infinite interval, SIAM J. Math. Anal., 16 (1985), pp. 1317-1334.
-
(1985)
SIAM J. Math. Anal
, vol.16
, pp. 1317-1334
-
-
VAN ASSCHE, W.1
-
42
-
-
55349115998
-
-
W. VAN ASSCHE, Erratum to Weighted zero distribution for polynomials orthogonal on an infinite interval, SIAM J. Math. Anal., 32 (2001), pp. 1169-1170.
-
W. VAN ASSCHE, Erratum to "Weighted zero distribution for polynomials orthogonal on an infinite interval", SIAM J. Math. Anal., 32 (2001), pp. 1169-1170.
-
-
-
-
43
-
-
55349088178
-
Linear difference equations with transition points, Liu Bie Ju Center for Math
-
preprint
-
Z. WANG AND R. WONG, Linear difference equations with transition points, Liu Bie Ju Center for Math. Sci., preprint, 2004.
-
(2004)
Sci
-
-
WANG, Z.1
WONG, R.2
-
44
-
-
0003851678
-
-
2nd ed, Cambridge Math. Lib. Ed, University Press, Cambridge
-
G. WATSON, Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge Math. Lib. Ed., Cambridge University Press, Cambridge, 1966.
-
(1966)
Treatise on the Theory of Bessel Functions
-
-
WATSON, G.1
-
45
-
-
35248901881
-
Computing the incomplete gamma function to arbitrary precision
-
Springer-Verlag, New York
-
S. WINITZKI, Computing the incomplete gamma function to arbitrary precision, in Lecture Notes in Comput. Sci. 2667, Springer-Verlag, New York, 2003, pp. 790-798.
-
(2003)
Lecture Notes in Comput. Sci
, vol.2667
, pp. 790-798
-
-
WINITZKI, S.1
|