×

zbMATH — the first resource for mathematics

Olver, Frank William John

Compute Distance To:
Author ID: olver.frank-william-john Recent zbMATH articles by "Olver, Frank William John"
Published as: Olver, F.; Olver, F. W-J.; Olver, F. W.; Olver, F. W. J.; Olver, Frank W. J.; Olver, Frank William John
Homepage: http://www.ipst.umd.edu/researchandfaculty/Olver/
External Links: MGP · Wikidata · GND
Documents Indexed: 100 Publications since 1946, including 10 Books
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 3,365 times in 2,967 Documents Cited by Year
NIST handbook of mathematical functions. Zbl 1198.00002
Olver, Frank W. J. (ed.); Lozier, Daniel W. (ed.); Boisvert, Ronald F. (ed.); Clark, Charles W. (ed.)
2010
Asymptotics and special functions. Zbl 0303.41035
Olver, F. W. J.
965
1974
Asymptotics and special functions. Reprint. Zbl 0982.41018
Olver, Frank W. J.
190
1997
Handbook for automatic computation. Volume II. J.H. Wilkinson and C. Reinsch: Linear algebra. Chief editor: F.L. Bauer. Zbl 0219.65001
Bauer, F. L. (ed.); Householder, A. S. (ed.); Olver, F. W. J. (ed.); Rutishauser, Heinz (ed.); Samelson, K. (ed.); Stiefel, E. (ed.); Wilkinson, J. H.; Reinsch, C.
122
1971
Introduction to asymptotics and special functions. Zbl 0308.41023
Olver, F. W. J.
100
1974
The asymptotic solution of linear differential equations of the second order for large values of a parameter. The asymptotic expansion of Bessel functions of large order. The asymptotic solution of linear differential equations of the second order in domain containing one transition point. Zbl 0070.30801
Olver, F. W. J.
69
1956
Numerical solution of second-order linear difference equations. Zbl 0171.36601
Olver, F. W. J.
60
1967
Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders. Zbl 0090.04602
Olver, F. W. J.
29
1959
Second-order linear differential equations with two turning points. Zbl 0301.34072
Olver, F. W. J.
25
1975
A new approach to error arithmetic. Zbl 0385.65019
Olver, F. W. J.
23
1978
Error bounds for stationary phase approximations. Zbl 0239.65028
Olver, F. W. J.
22
1974
Numerical evaluation of special functions. Zbl 0815.65030
Lozier, D. W.; Olver, F. W. J.
21
1994
Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. Zbl 0712.41006
Olver, F.
20
1990
Bessel functions. Part III: Zeros and associated values. Zbl 0094.31603
Olver, F. W. J. (ed.)
20
1960
Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms. Zbl 0738.41030
Olver, F. W. J.
19
1991
Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral. Zbl 0743.41025
Olver, F. W. J.
16
1991
Error analysis of Miller’s recurrence algorithm. Zbl 0115.34502
Olver, F. W. J.
16
1964
Error bounds for the Liouville-Green (or WKB) approximation. Zbl 0168.14003
Olver, F. W. J.
16
1961
Beyond floating point. Zbl 0628.65037
Clenshaw, C. W.; Olver, F. W. J.
14
1984
Note on backward recurrence algorithms. Zbl 0261.65080
Olver, F. W. J.; Sookne, D. J.
14
1972
Connection formulas for second-order differential equations with multiple turning points. Zbl 0344.34050
Olver, F. W. J.
12
1977
Bounds for the solutions of second-order linear difference equations. Zbl 0178.09702
Olver, F. W. J.
12
1967
Uniform asymptotic expansion of solutions of linear second-order differential equations for large values of a parameter. Zbl 0083.05701
Olver, F. W. J.
12
1958
A further method for the evaluation of zeros of Bessel functions and some new asymptotic expansions for zeros of functions of large order. Zbl 0054.03301
Olver, F. W. J.
12
1951
Hyperasymptotic solutions of second-order linear differential equations. I. Zbl 0847.34060
Olde Daalhuis, A. B.; Olver, F. W. J.
11
1995
A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations. Zbl 0038.08007
Olver, F. W. J.
11
1950
Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions. Zbl 0446.33008
Olver, F. W. J.
10
1980
General connection formulae for Liouville-Green approximations in the complex plane. Zbl 0389.34040
Olver, F. W. J.
10
1978
Sufficient conditions for Ackerberg-O’Malley resonance. Zbl 0375.34034
Olver, F. W. J.
10
1978
Some new asymptotic expansions for Bessel functions of large orders. Zbl 0049.32601
Olver, F. W. J.
10
1952
On the reversion of an asymptotic expansion and the zeros of the Airy functions. Zbl 1053.33003
Fabijonas, Bruce R.; Olver, F. W. J.
9
1999
Connection formulas for second-order differential equations having an arbitrary number of turning points of arbitrary multiplicities. Zbl 0353.34064
Olver, F. W. J.
9
1977
On the asymptotic and numerical solution of linear ordinary differential equations. Zbl 0914.34056
Olde Daalhuis, A. B.; Olver, F. W. J.
8
1998
A posteriori error bounds for Gaussian elimination. Zbl 0527.65018
Olver, F. W. J.; Wilkinson, J. H.
8
1982
Legendre functions with both parameters large. Zbl 0301.34073
Olver, F. W. J.
8
1975
Why steepest descents? Zbl 0219.65053
Olver, F. W. J.
8
1970
Error bounds for asymptotic expansions in turning-point problems. Zbl 0123.04803
Olver, F. W. J.
8
1964
On the uniqueness of asymptotic solutions to linear differential equations. Zbl 0964.34043
Olver, F. W. J.
7
1999
Error bounds for the Laplace approximation for definite integrals. Zbl 0187.10702
Olver, F. W. J.
7
1968
On the asymptotic solutions of second-order differential equations having an irregular singularity of rank one, with an application to Whittaker functions. Zbl 0173.33901
Olver, F. W. J.
7
1965
Error analysis of phase-integral methods. I: General theory for simple turning points. II: Application to wave-penetration problems. Zbl 0138.32401
Olver, F. W. J.
7
1965
On an asymptotic expansion of a ratio of gamma functions. Zbl 0848.33001
Olver, F. W. J.
6
1995
Exponentially improved asymptotic solutions of ordinary differential equations. II: Irregular singularities of rank one. Zbl 0809.34007
Olde Daalhuis, A. B.; Olver, F. W. J.
6
1994
Exponentially-improved asymptotic solutions of ordinary differential equations. I: The confluent hypergeometric function. Zbl 0779.34048
Olver, F. W. J.
6
1993
Level-index arithmetic operations. Zbl 0624.65016
Clenshaw, C. W.; Olver, F. W. J.
6
1987
Further developments of Rp and Ap error analysis. Zbl 0491.65028
Olver, F. W. J.
6
1982
The evaluation of zeros of high-degree polynomials. Zbl 0047.36302
Olver, F. W. J.
6
1952
Advances in the asymptotic and numerical solution of linear ordinary differential equations. Zbl 0932.34056
Olver, F. W. J.
5
1998
Level-index arithmetic: An introduction survey. Zbl 0674.68001
Clenshaw, C. W.; Olver, F. W. J.; Turner, P. R.
5
1989
Associated Legendre functions on the cut. Zbl 0523.65016
Olver, F. W. J.; Smith, J. M.
5
1983
Unsolved problems in the asymptotic estimation of special functions. Zbl 0326.33001
Olver, F. W. J.
5
1975
Error bounds for asymptotic expansions, with an application to cylinder functions of large argument. Zbl 0137.26703
Olver, F. W. J.
5
1964
Error bounds for first approximations in turning-point problems. Zbl 0118.32902
Olver, F. W.
5
1963
Closure and precision in level-index arithmetic. Zbl 0714.65051
Lozier, D. W.; Olver, F. W. J.
4
1990
Extended-range arithmetic and normalized Legendre polynomials. Zbl 0455.65015
Smith, J. M.; Olver, F. W. J.; Lozier, D. W.
4
1981
Error bounds for asymptotic solutions of second-order differential equations having an irregular singularity of arbitrary rank. Zbl 0173.34001
Olver, F. W. J.; Stenger, F.
4
1965
Mathematical tables. Vol. 6: Tables for Bessel functions of moderate or large orders. Zbl 0112.36103
Olver, F. W. J.
4
1962
Computation of complex Airy functions and their zeros using asymptotics and the differential equation. Zbl 1074.33017
Fabijonas, B. R.; Lozier, D. W.; Olver, F. W. J.
3
2004
Resurgence in difference equations, with an application to Legendre functions. Zbl 1097.39500
Olver, F. W. J.
3
2000
On the calculation of Stokes multipliers for linear differential equations of the second order. Zbl 0838.34006
Olde Daalhuis, A. B.; Olver, F. W. J.
3
1995
The generalized exponential integral. Zbl 0821.33001
Olver, F. W. J.
3
1994
Error bounds for linear recurrence relations. Zbl 0645.65089
Olver, F. W. J.
3
1988
Error analysis of complex arithmetic. Zbl 0516.65022
Olver, F. W. J.
3
1983
Asymptotic approximations and error bounds. Zbl 0439.41024
Olver, F. W. J.
3
1980
Second-order differential equations with fractional transition points. Zbl 0355.34004
Olver, F. W.
3
1977
Two inequalities for parabolic cylinder functions. Zbl 0118.06505
Olver, F. W. J.
3
1961
Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank 1. Zbl 0896.34049
Olver, F. W. J.
2
1997
Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations. Zbl 0838.34071
Olver, F. W. J.
2
1994
On Stokes’ phenomenon and converging factors. Zbl 0704.33001
Olver, Frank W. J.
2
1990
Generalized exponential and logarithmic functions. Zbl 0621.33002
Clenshaw, C. W.; Lozier, D. W.; Olver, F. W. J.; Turner, P. R.
2
1986
An unrestricted algorithm for the exponential function. Zbl 0424.65003
Clenshaw, C. W.; Olver, F. W. J.
2
1980
Linear differential equations of the second order with a large parameter. Zbl 0094.28404
Olver, F. W. J.
2
1959
Note on the asymptotic expansion of generalized hypergeometric functions. Zbl 0052.06903
Olver, F. W. J.
2
1953
Solution of differential equations by recurrence relations. Zbl 0045.06701
Clenshaw, C. W.; Olver, F. W. J.
2
1951
Selected papers of F. W. J. Olver. Parts I and II. Ed. by Roderick Wong. Zbl 0957.01035
Olver, F. W. J.
1
2000
Exponentially-improved asymptotic solutions of ordinary differential equations. Zbl 0791.34051
Olver, F. W. J.
1
1993
Rounding errors in algebraic processes - in level-index arithmetic. Zbl 0725.65049
Olver, F. W. J.
1
1990
Error bounds for polynomial evaluation and complex arithmetic. Zbl 0603.65012
Olver, F. W. J.
1
1986
Error bounds for arithmetic operations on computers without guard digits. Zbl 0523.65026
Olver, F. W. J.
1
1983
Improved error bounds for secondorder differential equations with two turning points. Zbl 0357.34009
Olver, F. W. J.
1
1977
Uniform asymptotic expansions and singular perturbations. Zbl 0341.34044
Olver, F. W. J.
1
1976
A paradox in asymptotics. Zbl 0203.36302
Olver, F. W. J.
1
1970
An extension of Miller’s algorithm. Zbl 0162.47101
Olver, F. W. J.
1
1968
Bessel functions. Part III: Zeros and associated values. Zbl 0149.37801
Olver, F. W-J.
1
1967
Error bounds for asymptotic expansions of special functions in the complex plane. Zbl 0154.41501
Olver, F. W. J.
1
1965
The use of economized polynomials in mathematical tables. Zbl 0066.10801
Clenshaw, C. W.; Olver, F. W. J.
1
1955
NIST handbook of mathematical functions. Zbl 1198.00002
Olver, Frank W. J. (ed.); Lozier, Daniel W. (ed.); Boisvert, Ronald F. (ed.); Clark, Charles W. (ed.)
2010
Computation of complex Airy functions and their zeros using asymptotics and the differential equation. Zbl 1074.33017
Fabijonas, B. R.; Lozier, D. W.; Olver, F. W. J.
3
2004
Resurgence in difference equations, with an application to Legendre functions. Zbl 1097.39500
Olver, F. W. J.
3
2000
Selected papers of F. W. J. Olver. Parts I and II. Ed. by Roderick Wong. Zbl 0957.01035
Olver, F. W. J.
1
2000
On the reversion of an asymptotic expansion and the zeros of the Airy functions. Zbl 1053.33003
Fabijonas, Bruce R.; Olver, F. W. J.
9
1999
On the uniqueness of asymptotic solutions to linear differential equations. Zbl 0964.34043
Olver, F. W. J.
7
1999
On the asymptotic and numerical solution of linear ordinary differential equations. Zbl 0914.34056
Olde Daalhuis, A. B.; Olver, F. W. J.
8
1998
Advances in the asymptotic and numerical solution of linear ordinary differential equations. Zbl 0932.34056
Olver, F. W. J.
5
1998
Asymptotics and special functions. Reprint. Zbl 0982.41018
Olver, Frank W. J.
190
1997
Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank 1. Zbl 0896.34049
Olver, F. W. J.
2
1997
Hyperasymptotic solutions of second-order linear differential equations. I. Zbl 0847.34060
Olde Daalhuis, A. B.; Olver, F. W. J.
11
1995
On an asymptotic expansion of a ratio of gamma functions. Zbl 0848.33001
Olver, F. W. J.
6
1995
On the calculation of Stokes multipliers for linear differential equations of the second order. Zbl 0838.34006
Olde Daalhuis, A. B.; Olver, F. W. J.
3
1995
Numerical evaluation of special functions. Zbl 0815.65030
Lozier, D. W.; Olver, F. W. J.
21
1994
Exponentially improved asymptotic solutions of ordinary differential equations. II: Irregular singularities of rank one. Zbl 0809.34007
Olde Daalhuis, A. B.; Olver, F. W. J.
6
1994
The generalized exponential integral. Zbl 0821.33001
Olver, F. W. J.
3
1994
Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations. Zbl 0838.34071
Olver, F. W. J.
2
1994
Exponentially-improved asymptotic solutions of ordinary differential equations. I: The confluent hypergeometric function. Zbl 0779.34048
Olver, F. W. J.
6
1993
Exponentially-improved asymptotic solutions of ordinary differential equations. Zbl 0791.34051
Olver, F. W. J.
1
1993
Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms. Zbl 0738.41030
Olver, F. W. J.
19
1991
Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral. Zbl 0743.41025
Olver, F. W. J.
16
1991
Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. Zbl 0712.41006
Olver, F.
20
1990
Closure and precision in level-index arithmetic. Zbl 0714.65051
Lozier, D. W.; Olver, F. W. J.
4
1990
On Stokes’ phenomenon and converging factors. Zbl 0704.33001
Olver, Frank W. J.
2
1990
Rounding errors in algebraic processes - in level-index arithmetic. Zbl 0725.65049
Olver, F. W. J.
1
1990
Level-index arithmetic: An introduction survey. Zbl 0674.68001
Clenshaw, C. W.; Olver, F. W. J.; Turner, P. R.
5
1989
Error bounds for linear recurrence relations. Zbl 0645.65089
Olver, F. W. J.
3
1988
Level-index arithmetic operations. Zbl 0624.65016
Clenshaw, C. W.; Olver, F. W. J.
6
1987
Generalized exponential and logarithmic functions. Zbl 0621.33002
Clenshaw, C. W.; Lozier, D. W.; Olver, F. W. J.; Turner, P. R.
2
1986
Error bounds for polynomial evaluation and complex arithmetic. Zbl 0603.65012
Olver, F. W. J.
1
1986
Beyond floating point. Zbl 0628.65037
Clenshaw, C. W.; Olver, F. W. J.
14
1984
Associated Legendre functions on the cut. Zbl 0523.65016
Olver, F. W. J.; Smith, J. M.
5
1983
Error analysis of complex arithmetic. Zbl 0516.65022
Olver, F. W. J.
3
1983
Error bounds for arithmetic operations on computers without guard digits. Zbl 0523.65026
Olver, F. W. J.
1
1983
A posteriori error bounds for Gaussian elimination. Zbl 0527.65018
Olver, F. W. J.; Wilkinson, J. H.
8
1982
Further developments of Rp and Ap error analysis. Zbl 0491.65028
Olver, F. W. J.
6
1982
Extended-range arithmetic and normalized Legendre polynomials. Zbl 0455.65015
Smith, J. M.; Olver, F. W. J.; Lozier, D. W.
4
1981
Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions. Zbl 0446.33008
Olver, F. W. J.
10
1980
Asymptotic approximations and error bounds. Zbl 0439.41024
Olver, F. W. J.
3
1980
An unrestricted algorithm for the exponential function. Zbl 0424.65003
Clenshaw, C. W.; Olver, F. W. J.
2
1980
A new approach to error arithmetic. Zbl 0385.65019
Olver, F. W. J.
23
1978
General connection formulae for Liouville-Green approximations in the complex plane. Zbl 0389.34040
Olver, F. W. J.
10
1978
Sufficient conditions for Ackerberg-O’Malley resonance. Zbl 0375.34034
Olver, F. W. J.
10
1978
Connection formulas for second-order differential equations with multiple turning points. Zbl 0344.34050
Olver, F. W. J.
12
1977
Connection formulas for second-order differential equations having an arbitrary number of turning points of arbitrary multiplicities. Zbl 0353.34064
Olver, F. W. J.
9
1977
Second-order differential equations with fractional transition points. Zbl 0355.34004
Olver, F. W.
3
1977
Improved error bounds for secondorder differential equations with two turning points. Zbl 0357.34009
Olver, F. W. J.
1
1977
Uniform asymptotic expansions and singular perturbations. Zbl 0341.34044
Olver, F. W. J.
1
1976
Second-order linear differential equations with two turning points. Zbl 0301.34072
Olver, F. W. J.
25
1975
Legendre functions with both parameters large. Zbl 0301.34073
Olver, F. W. J.
8
1975
Unsolved problems in the asymptotic estimation of special functions. Zbl 0326.33001
Olver, F. W. J.
5
1975
Asymptotics and special functions. Zbl 0303.41035
Olver, F. W. J.
965
1974
Introduction to asymptotics and special functions. Zbl 0308.41023
Olver, F. W. J.
100
1974
Error bounds for stationary phase approximations. Zbl 0239.65028
Olver, F. W. J.
22
1974
Note on backward recurrence algorithms. Zbl 0261.65080
Olver, F. W. J.; Sookne, D. J.
14
1972
Handbook for automatic computation. Volume II. J.H. Wilkinson and C. Reinsch: Linear algebra. Chief editor: F.L. Bauer. Zbl 0219.65001
Bauer, F. L. (ed.); Householder, A. S. (ed.); Olver, F. W. J. (ed.); Rutishauser, Heinz (ed.); Samelson, K. (ed.); Stiefel, E. (ed.); Wilkinson, J. H.; Reinsch, C.
122
1971
Why steepest descents? Zbl 0219.65053
Olver, F. W. J.
8
1970
A paradox in asymptotics. Zbl 0203.36302
Olver, F. W. J.
1
1970
Error bounds for the Laplace approximation for definite integrals. Zbl 0187.10702
Olver, F. W. J.
7
1968
An extension of Miller’s algorithm. Zbl 0162.47101
Olver, F. W. J.
1
1968
Numerical solution of second-order linear difference equations. Zbl 0171.36601
Olver, F. W. J.
60
1967
Bounds for the solutions of second-order linear difference equations. Zbl 0178.09702
Olver, F. W. J.
12
1967
Bessel functions. Part III: Zeros and associated values. Zbl 0149.37801
Olver, F. W-J.
1
1967
On the asymptotic solutions of second-order differential equations having an irregular singularity of rank one, with an application to Whittaker functions. Zbl 0173.33901
Olver, F. W. J.
7
1965
Error analysis of phase-integral methods. I: General theory for simple turning points. II: Application to wave-penetration problems. Zbl 0138.32401
Olver, F. W. J.
7
1965
Error bounds for asymptotic solutions of second-order differential equations having an irregular singularity of arbitrary rank. Zbl 0173.34001
Olver, F. W. J.; Stenger, F.
4
1965
Error bounds for asymptotic expansions of special functions in the complex plane. Zbl 0154.41501
Olver, F. W. J.
1
1965
Error analysis of Miller’s recurrence algorithm. Zbl 0115.34502
Olver, F. W. J.
16
1964
Error bounds for asymptotic expansions in turning-point problems. Zbl 0123.04803
Olver, F. W. J.
8
1964
Error bounds for asymptotic expansions, with an application to cylinder functions of large argument. Zbl 0137.26703
Olver, F. W. J.
5
1964
Error bounds for first approximations in turning-point problems. Zbl 0118.32902
Olver, F. W.
5
1963
Mathematical tables. Vol. 6: Tables for Bessel functions of moderate or large orders. Zbl 0112.36103
Olver, F. W. J.
4
1962
Error bounds for the Liouville-Green (or WKB) approximation. Zbl 0168.14003
Olver, F. W. J.
16
1961
Two inequalities for parabolic cylinder functions. Zbl 0118.06505
Olver, F. W. J.
3
1961
Bessel functions. Part III: Zeros and associated values. Zbl 0094.31603
Olver, F. W. J. (ed.)
20
1960
Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders. Zbl 0090.04602
Olver, F. W. J.
29
1959
Linear differential equations of the second order with a large parameter. Zbl 0094.28404
Olver, F. W. J.
2
1959
Uniform asymptotic expansion of solutions of linear second-order differential equations for large values of a parameter. Zbl 0083.05701
Olver, F. W. J.
12
1958
The asymptotic solution of linear differential equations of the second order for large values of a parameter. The asymptotic expansion of Bessel functions of large order. The asymptotic solution of linear differential equations of the second order in domain containing one transition point. Zbl 0070.30801
Olver, F. W. J.
69
1956
The use of economized polynomials in mathematical tables. Zbl 0066.10801
Clenshaw, C. W.; Olver, F. W. J.
1
1955
Note on the asymptotic expansion of generalized hypergeometric functions. Zbl 0052.06903
Olver, F. W. J.
2
1953
Some new asymptotic expansions for Bessel functions of large orders. Zbl 0049.32601
Olver, F. W. J.
10
1952
The evaluation of zeros of high-degree polynomials. Zbl 0047.36302
Olver, F. W. J.
6
1952
A further method for the evaluation of zeros of Bessel functions and some new asymptotic expansions for zeros of functions of large order. Zbl 0054.03301
Olver, F. W. J.
12
1951
Solution of differential equations by recurrence relations. Zbl 0045.06701
Clenshaw, C. W.; Olver, F. W. J.
2
1951
A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations. Zbl 0038.08007
Olver, F. W. J.
11
1950
all top 5

Cited by 3,733 Authors

51 Wong, Roderick Sue-Chuen
36 Temme, Nico M.
33 Paris, Richard Bruce
24 López, José Luis
21 Ismail, Mourad El-Houssieny
20 Baricz, Árpád
19 Nemes, Gergő
17 Dunster, T. M.
16 Olver, Sheehan Shakiban
16 Segura, Javier
16 Zhao, Yuqiu
15 Vignat, Christophe
14 Borwein, Jonathan Michael
14 Deaño, Alfredo
13 Chu, Yuming
13 Gaunt, Robert Edward
13 Qi, Feng
12 Boyd, John Philip
12 Dixit, Atul
12 Gil, Amparo
12 Neuman, Edward
12 Xu, Shuaixia
11 Fukushima, Toshio
11 González-Santander, Juan L.
11 Pérez Sinusía, Ester
11 Van Assche, Walter
11 Zhang, Lun
10 Cohl, Howard Saul
10 Ferreira, Chelo
10 Moll, Victor Hugo
10 Olde Daalhuis, Adri B.
10 Olver, Frank William John
10 Spigler, Renato
9 Barnett, Alex H.
9 Bremer, James C.
9 Dai, Dan
9 Dilcher, Karl
9 Dominici, Diego Ernesto
9 Frolenkov, Dmitriĭ Andreevich
9 Ishkhanyan, Artur Michaĭlovich
9 Kuijlaars, Arno B. J.
9 Qiu, Songliang
9 Sesma, Javier
9 Sidi, Avram
9 Straub, Armin
9 Teschl, Gerald
9 Vianello, Marco
9 Volkmer, Hans
9 Wang, Haiyong
8 Agarwal, Praveen
8 Balkanova, Ol’ga Germanovna
8 Deconinck, Bernard
8 Dehesa, Jesús S.
8 Donninger, Roland
8 Forrester, Peter J.
8 Gawronski, Wolfgang
8 Greengard, Leslie F.
8 Huybrechs, Daan
8 Trogdon, Thomas
7 Akemann, Gernot
7 Area, Iván
7 Celeghini, Enrico
7 Clarkson, Peter A.
7 del Olmo, Mariano A.
7 Driver, Kathy A.
7 Karp, Dmitriĭ Borisovich
7 Koornwinder, Tom H.
7 Li, Yutian
7 Naboko, Serguei N.
7 Pechentsov, A. S.
7 Pizzocchero, Livio
7 Szasz, Robert Zoltan
7 Wang, Miaokun
7 Zaĭtseva, Natal’ya Vladimirovna
6 Amdeberhan, Tewodros
6 Berndt, Bruce Carl
6 Brauchart, Johann S.
6 Chen, Yang
6 Choi, Junesang
6 Garoufalidis, Stavros
6 Harrell, Evans M. II
6 Jiang, Shidong
6 Jiu, Lin
6 Johnstone, Iain M.
6 Karoui, Abderrazek
6 Kostenko, Aleksey S.
6 Luo, Minjie
6 Ma, Junjie
6 Ma, Xiaoyan
6 Muldoon, Martin E.
6 Neuschel, Thorsten
6 Nishimoto, Toshihiko
6 O’Neil, Michael
6 Parmar, Rakesh Kumar
6 Pogány, Tibor K.
6 Ponnusamy, Saminathan
6 Rejto, Peter
6 Saff, Edward Barry
6 Schmidt, Maxie Dion
6 Slevinsky, Richard Mikaël
...and 3,633 more Authors
all top 5

Cited in 494 Serials

159 Journal of Mathematical Analysis and Applications
150 Journal of Computational and Applied Mathematics
91 Journal of Mathematical Physics
78 Journal of Approximation Theory
66 Applied Mathematics and Computation
56 Journal of Computational Physics
55 Mathematics of Computation
52 Numerische Mathematik
45 Communications in Mathematical Physics
38 Journal of High Energy Physics
37 Linear Algebra and its Applications
36 Annals of Physics
35 Analysis and Applications (Singapore)
32 Journal of Differential Equations
32 Proceedings of the American Mathematical Society
32 Transactions of the American Mathematical Society
31 Constructive Approximation
29 Integral Transforms and Special Functions
29 The Ramanujan Journal
27 Wave Motion
26 Journal of Fluid Mechanics
26 Journal of Functional Analysis
25 Computing
23 Applied Numerical Mathematics
23 Journal of Mathematical Sciences (New York)
22 Studies in Applied Mathematics
22 Physica D
21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
20 Computers & Mathematics with Applications
20 BIT
19 Numerical Algorithms
19 Applied and Computational Harmonic Analysis
18 Physics Letters. A
18 Journal of Number Theory
18 Annales Henri Poincaré
17 Journal of Statistical Physics
17 Mathematical Notes
17 Advances in Mathematics
17 Communications in Partial Differential Equations
16 Computer Methods in Applied Mechanics and Engineering
16 Journal of Classical Analysis
15 Nuclear Physics. B
15 Journal of Scientific Computing
15 Differential Equations
14 Computer Physics Communications
14 Theoretical and Mathematical Physics
14 The Annals of Probability
14 Results in Mathematics
13 Advances in Applied Mathematics
13 Advances in Computational Mathematics
12 Physics Letters. B
12 Statistics & Probability Letters
12 Fractional Calculus & Applied Analysis
11 Lithuanian Mathematical Journal
11 Annales de l’Institut Fourier
11 Mathematische Nachrichten
11 Journal of Theoretical Probability
11 SIAM Journal on Scientific Computing
10 Applicable Analysis
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Applied Mathematics Letters
10 SIAM Journal on Mathematical Analysis
9 General Relativity and Gravitation
9 Journal of Engineering Mathematics
9 Mathematical Methods in the Applied Sciences
9 Journal of Applied Probability
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Difference Equations and Applications
9 Journal of Mathematical Chemistry
9 Lobachevskii Journal of Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Computational Methods and Function Theory
8 The Annals of Statistics
8 Duke Mathematical Journal
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Quarterly of Applied Mathematics
8 SIAM Journal on Numerical Analysis
8 SIAM Journal on Applied Mathematics
8 Stochastic Processes and their Applications
8 Discrete and Continuous Dynamical Systems
8 Random Matrices: Theory and Applications
7 Modern Physics Letters A
7 Archive for Rational Mechanics and Analysis
7 Fluid Dynamics
7 Journal of Applied Mathematics and Mechanics
7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
7 Annals of the Institute of Statistical Mathematics
7 Journal of Econometrics
7 Journal of Statistical Planning and Inference
7 Mathematische Annalen
7 Applied Mathematics and Mechanics. (English Edition)
7 Computational Mathematics and Mathematical Physics
7 Aequationes Mathematicae
7 Applied Mathematical Modelling
7 Journal of Inequalities and Applications
7 Communications in Nonlinear Science and Numerical Simulation
7 Journal of the Australian Mathematical Society
7 Journal of Statistical Mechanics: Theory and Experiment
7 Journal of Physics A: Mathematical and Theoretical
6 Acta Mechanica
...and 394 more Serials
all top 5

Cited in 61 Fields

789 Special functions (33-XX)
589 Numerical analysis (65-XX)
488 Partial differential equations (35-XX)
434 Ordinary differential equations (34-XX)
355 Approximations and expansions (41-XX)
305 Quantum theory (81-XX)
266 Probability theory and stochastic processes (60-XX)
217 Number theory (11-XX)
175 Functions of a complex variable (30-XX)
149 Harmonic analysis on Euclidean spaces (42-XX)
147 Fluid mechanics (76-XX)
123 Real functions (26-XX)
123 Operator theory (47-XX)
122 Statistics (62-XX)
108 Statistical mechanics, structure of matter (82-XX)
105 Linear and multilinear algebra; matrix theory (15-XX)
94 Combinatorics (05-XX)
92 Mechanics of deformable solids (74-XX)
85 Integral transforms, operational calculus (44-XX)
82 Relativity and gravitational theory (83-XX)
78 Difference and functional equations (39-XX)
77 Global analysis, analysis on manifolds (58-XX)
67 Dynamical systems and ergodic theory (37-XX)
65 Optics, electromagnetic theory (78-XX)
60 Computer science (68-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 Systems theory; control (93-XX)
39 Sequences, series, summability (40-XX)
39 Differential geometry (53-XX)
38 Integral equations (45-XX)
37 Functional analysis (46-XX)
34 Biology and other natural sciences (92-XX)
33 Information and communication theory, circuits (94-XX)
30 Operations research, mathematical programming (90-XX)
27 Mechanics of particles and systems (70-XX)
27 Classical thermodynamics, heat transfer (80-XX)
23 Potential theory (31-XX)
22 Topological groups, Lie groups (22-XX)
18 Algebraic geometry (14-XX)
16 Abstract harmonic analysis (43-XX)
16 Geophysics (86-XX)
15 Astronomy and astrophysics (85-XX)
11 Several complex variables and analytic spaces (32-XX)
10 History and biography (01-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Field theory and polynomials (12-XX)
9 Nonassociative rings and algebras (17-XX)
9 Convex and discrete geometry (52-XX)
7 Measure and integration (28-XX)
6 Manifolds and cell complexes (57-XX)
4 \(K\)-theory (19-XX)
4 Group theory and generalizations (20-XX)
3 General and overarching topics; collections (00-XX)
3 Associative rings and algebras (16-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Algebraic topology (55-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.