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Author ID: erdelyi.arthur Recent zbMATH articles by "Erdélyi, Arthur"
Published as: Erdélyi, Arthur; Erdélyi, A.; Erdélyi, Artur
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 217 Publications since 1934, including 16 Books
4 Contributions as Editor · 2 Further Contributions
Biographic References: 4 Publications
Co-Authors: 19 Co-Authors with 27 Joint Publications
152 Co-Co-Authors
all top 5

Serials

19 The Quarterly Journal of Mathematics. Oxford Series
15 Journal of the London Mathematical Society
10 Mathematische Zeitschrift
10 Proceedings of the Edinburgh Mathematical Society. Series II
10 Monatshefte für Mathematik und Physik
9 The Philosophical Magazine, VII. Series
8 Compositio Mathematica
8 Akademie der Wissenschaften in Wien, Mathematisch-Naturwissenschaftliche Klasse, Sitzungsberichte, Abteilung IIa
6 Mathematische Annalen
6 Proceedings of the Royal Society of Edinburgh
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of the Society for Industrial & Applied Mathematics
4 Archive for Rational Mechanics and Analysis
4 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali
4 Proceedings of the Cambridge Philosophical Society
4 Proceedings. Akadamie van Wetenschappen Amsterdam
4 Annalen der Physik, V. Folge
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 The Journal of the Indian Mathematical Society. New Series
2 American Mathematical Monthly
2 Journal d’Analyse Mathématique
2 Duke Mathematical Journal
2 Giornale dell’Istituto Italiano degli Attuari
2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
2 SIAM Journal on Mathematical Analysis
2 Journal of the Australian Mathematical Society
2 Atti della Accademia Nazionale dei Lincei, Rendiconti, VI. Serie
2 Bulletin of the American Mathematical Society
2 Zeitschrift für Physik
2 Archiv für Elektrotechnik
2 Časopis Pro Pěstování Matematiky a Fysiky
2 Mathematikai és Természettudományi Értesítő
2 Nieuw Archief voor Wiskunde. Tweede Serie
2 Physica, Neue Folge
2 Proceedings of the Benares Mathematical Society (New Series)
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Journal of the Institute of Mathematics and its Applications
1 Journal of Mathematical Physics
1 Mathematics Magazine
1 Acta Mathematica
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Mathematical Tables and other Aids to Computation
1 Philips Research Reports
1 Proceedings of the Glasgow Mathematical Association
1 Mathematicians of Our Time
1 Journal of Rational Mechanics and Analysis
1 The Edinburgh Mathematical Notes

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 5,269 times in 4,753 Documents Cited by Year
Higher transcendental functions. Vol. I. Zbl 0051.30303
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
1953
Higher transcendental functions. Vol. II. Zbl 0052.29502
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
920
1953
Tables of integral transforms. Vol. I. Zbl 0055.36401
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
719
1954
Higher transcendental functions. Vol. III. Zbl 0064.06302
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
418
1955
Higher transcendental functions. Vol. 2. Zbl 0143.29202
Bateman, Harry; Erdélyi, Arthur
370
1966
Asymptotic expansions. Zbl 0070.29002
Erdélyi, Arthur
298
1956
The asymptotic expansion of a ratio of gamma functions. Zbl 0043.29103
Tricomi, Francesco G.; Erdélyi, Arthur
91
1951
Tables of integral transforms. Vol. II. Based, in part, on notes left by Harry Bateman. Zbl 0058.34103
68
1954
Higher transcendental functions. Vol. I. Based, in part, on notes left by Harry Bateman and compiled by the staff of the Bateman Manuscript Project. (Repr. of the orig. 1953 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0542.33001
Magnus, Wilhelm; Oberhettinger, Fritz; Tricomi, Francesco G.
55
1981
Asymptotic representations of Fourier integrals and the method of stationary phase. Zbl 0072.11702
Erdélyi, Arthur
48
1955
Higher transcendental functions. The hypergeometric function. Legendre functions. Translation from the English by N.Ya. Vilenkin. Zbl 0146.09301
Bateman, Harry; Erdélyi, Arthur
35
1965
Fractional integration and dual integral equations. Zbl 0108.29201
Erdélyi, Arthur; Sneddon, I. N.
28
1962
Hypergeometric functions of two variables. Zbl 0041.39402
Erdélyi, Arthur
26
1950
Singularities of generalized axially symmetric potentials. Zbl 0071.32002
Erdélyi, Arthur
26
1956
An integral equation involving Legendre functions. Zbl 0178.14401
Erdélyi, Arthur
26
1964
The asymptotic evaluation of certain integrals. Zbl 0168.37903
Erdélyi, Arthur; Wyman, M.
22
1963
On the finite difference analogue of Rodrigues’ formula. Zbl 0046.29902
Weber, Maria; Erdélyi, Arthur
20
1952
General asymptotic expansions of Laplace integrals. Zbl 0097.08802
Erdélyi, Arthur
18
1961
Asymptotic solutions of differential equations with transition points or singularities. Zbl 0125.04802
Erdélyi, Arthur
18
1960
Operational calculus and generalized functions. Zbl 0123.09502
Erdélyi, Arthur
17
1962
On fractional integration and its application to the theory of Hankel transforms. Zbl 0025.18602
Erdélyi, Arthur
16
1940
Asymptotic forms for Laguerre polynomials. Zbl 0105.05401
Erdélyi, Arthur
16
1961
On fractional integration and its application to the theory of Hankel transforms. JFM 66.0522.01
Erdélyi, A.
16
1940
Über einige bestimmte Integrale, in denen die Whittakerschen \(M_{k,m}\)- Funktionen auftreten. Zbl 0013.06405
Erdélyi, Artur
15
1936
Certain expansions of solutions of the Heun equation. Zbl 0060.19502
Erdélyi, Arthur
15
1944
Some remarks on Hankel transforms. JFM 66.0521.01
Erdélyi, A.; Kober, H.
14
1940
Asymptotic expansions of Fourier integrals involving logarithmic singularities. Zbl 0072.11703
Erdélyi, Arthur
13
1956
Higher transcendental functions. Vol. 3: Elliptic and automorphic functions, Lamé und Mathieu functions. Zbl 0157.11901
Bateman, Harry; Erdélyi, Arthur
12
1967
On a nonlinear boundary value problem involving a small parameter. Zbl 0161.06201
Erdélyi, Arthur
12
1962
An application of fractional integrals. Zbl 0135.33801
Erdélyi, Arthur
11
1965
Über eine Methode zur Gewinnung von Funktionalbeziehungen zwischen konfluenten hypergeometrischen Funktionen. Zbl 0015.21104
Erdélyi, Artur
10
1936
Approximate solutions of a nonlinear boundary value problem. Zbl 0155.13203
Erdélyi, Arthur
10
1968
Some problems of non-associative combinations. II. Zbl 0060.02506
Erdélyi, Arthur; Etherington, I. M. H.
10
1941
Axially symmetric potentials and fractional integration. Zbl 0158.12504
Erdélyi, Arthur
9
1965
Funktionalrelationen mit konfluenten hypergeometrischen Funktionen. I. Additions- und Multiplikationstheoreme. Zbl 0015.21103
Erdélyi, Artur
8
1936
On a partial differential equation with two singular lines. Zbl 0084.09003
Copson, E. T.; Erdélyi, Arthur
8
1958
Note on a paper by Titchmarsh. Zbl 0115.30002
Erdélyi, Arthur
8
1963
Variational principles in the mathematical theory of diffraction. Zbl 0052.43903
Erdélyi, Arthur
8
1953
Integral equations for Heun functions. Zbl 0060.19503
Erdélyi, Arthur
8
1942
Some remarks on Hankel transforms. Zbl 0025.18601
Erdélyi, Arthur; Kober, H.
7
1940
The analytic theory of systems of partial differential equations. Zbl 0044.09303
Erdélyi, Arthur
7
1951
Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials. JFM 65.0298.01
Erdélyi, A.
7
1939
On a generalization of the Laplace transformation. Zbl 0056.33102
Erdélyi, Arthur
7
1954
Zur Theorie der Kugelwellen. Zbl 0016.02202
Erdélyi, Artur
6
1937
Transformations of hypergeometric functions of two variables. Zbl 0031.02101
Erdélyi, Arthur
6
1948
Two-variable expansions for singular perturbations. Zbl 0155.14402
Erdélyi, Arthur
6
1968
Higher transcendental functions. Vol. II. Based, in part, on notes left by Harry Bateman and compiled by the Staff of the Bateman Manuscript Project. (Repr. of the orig. 1953 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0505.33001
6
1981
Higher transcendental functions. Vol. III. Based, in part, on notes left by Harry Bateman and compiled by the Staff of the Bateman Manuscript Project. (Repr. of the orig. 1955 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0542.33002
6
1981
A class of hypergeometric transforms. JFM 66.1283.01
Erdélyi, A.
6
1940
Transformation of hypergeometric integrals by means of fractional integration by parts. JFM 65.1220.01
Erdélyi, A.
6
1939
On some expansions in Laguerre polynomials. JFM 64.0355.02
Erdélyi, A.
6
1938
Über eine erzeugende Funktion von Produkten Hermitescher Polynome. JFM 64.1085.03
Erdélyi, A.
6
1938
Beitrag zur Theorie der konfluenten hypergeometrischen Funktionen von mehreren Veränderlichen. JFM 63.0997.01
Erdélyi, A.
6
1937
Über einige bestimmte Integrale, in denen die Whittakerschen \(M_{k,m}\)-Funktionen auftreten. JFM 62.0418.01
Erdélyi, A.
6
1936
The Stieltjes transformation on weighted \(L_p\) spaces. Zbl 0396.44002
Erdélyi, Arthur
5
1978
Der Zusammenhang zwischen verschiedenen Integraldarstellungen hypergeometrischer Funktionen. Zbl 0017.16301
Erdélyi, Arthur
5
1937
Transformation of hypergeometric integrals by means of fractional integration by parts. Zbl 0022.13201
Erdélyi, Arthur
5
1939
Tables of integral transforms. Vol. 1: Fourier, Laplace, Mellin transforms. Zbl 0184.33704
Erdélyi, Arthur; Magnus, V.; Oberhettinger, F.; Tricomi, Francesco
5
1969
Fractional integrals of distributions. Zbl 0207.43601
Erdélyi, Arthur; McBride, A. C.
5
1970
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
5
1975
Zur Theorie der Kugelwellen. JFM 63.0324.01
Erdélyi, A.
5
1937
Über die freien Schwingungen in Kondensatorkreisen mit periodisch veränderlicher Kapazität. JFM 60.0752.04
Erdélyi, A.
5
1934
Parabolic cylinder functions of larger order. Zbl 0057.05502
Erdélyi, Arthur; Kennedy, M.; McGregor, J. L.
5
1954
The Fuchsian equation of second order with four singularities. Zbl 0060.19501
Erdélyi, Arthur
5
1942
Stieltjes transforms of generalised functions. Zbl 0388.44004
Erdélyi, Arthur
4
1977
Integraldarstellungen hypergeometrischer Funktionen. Zbl 0018.01903
Erdélyi, Artur
4
1937
Beitrag zur Theorie der konfluenten hypergeometrischen Funktionen von mehreren Veränderlichen. Zbl 0018.39902
Erdélyi, Artur
4
1937
An expansion procedure for singular perturbations. Zbl 0107.31104
Erdélyi, Arthur
4
1961
Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602
Erdélyi, Arthur; Swanson, C. A.
4
1957
Some integral equations involving finite parts of divergent integrals. Zbl 0147.10202
Erdélyi, Arthur
4
1967
Some confluent hypergeometric functions of two variables. JFM 66.0325.04
Erdélyi, A.
4
1940
The Hankel transform of a product of Whittaker’s functions. JFM 64.0342.02
Erdélyi, A.
4
1938
Integraldarstellungen hypergeometrischer Funktionen. JFM 63.0320.03
Erdélyi, A.
4
1937
Gewisse Reihentransformationen, die mit der linearen Transformationsformel der Thetafunktion zusammenhängen. JFM 63.0385.01
Erdélyi, A.
4
1937
Entwicklung einer analytischen Funktion nach Whittakerschen Funktionen. JFM 62.0421.01
Erdélyi, A.
4
1936
Asymptotic evaluation of integrals involving a fractional derivative. Zbl 0281.41012
Erdélyi, Arthur
4
1974
Some confluent hypergeometric functions of two variables. Zbl 0063.01258
Erdélyi, Arthur
3
1940
Über gewisse Funktionalbeziehungen. Zbl 0016.16203
Erdélyi, Artur
3
1937
On some expansions in Laguerre polynomials. Zbl 0019.25501
Erdélyi, Arthur
3
1938
Singular perturbations. Zbl 0118.08703
Erdélyi, Arthur
3
1962
Singular perturbations of boundary value problems involving ordinary differential equations. Zbl 0122.32501
Erdélyi, Arthur
3
1963
The integral equations of asymptotic theory. Zbl 0178.14502
Erdélyi, Arthur
3
1964
On the Euler-Poisson-Darboux equation. Zbl 0206.39802
Erdélyi, Arthur
3
1970
On Lamé functions. JFM 67.0236.02
Erdélyi, A.
3
1941
Generating functions of certain continuous orthogonal systems. JFM 67.1009.01
Erdélyi, A.
3
1941
Transformation einer gewissen nach Produkten konfluenter hypergeometrischer Funktionen fortschreitenden Reihe. JFM 65.0297.04
Erdélyi, A.
3
1939
Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 65.1268.02
Erdélyi, A.
3
1939
Über die kleinen Schwingungen eines Pendels mit oszillierendem Aufhängepunkt. JFM 60.0695.03
Erdélyi, A.
3
1934
Inversion formulae for the Laplace transformation. Zbl 0060.25204
Erdélyi, Arthur
3
1943
Fractional integrals of generalized functions. Zbl 0309.26008
Erdélyi, Arthur
3
1975
Über Schwingungskreise mit langsam pulsierender Dämpfung (Zur Theorie des Pendelrückkoppelungsempfängers). Zbl 0012.09503
Erdélyi, Artur
2
1935
Entwicklung einer analytischen Funktion nach Whittakerschen Funktionen. Zbl 0015.21201
Erdélyi, Artur
2
1936
Die Funksche Integralgleichung der Kugelflächenfunktionen und ihre Übertragung auf die Überkugel. Zbl 0018.25501
Erdélyi, Artur
2
1938
Über eine erzeugende Funktion von Produkten Hermitescher Polynome. Zbl 0019.11304
Erdélyi, Artur
2
1938
Bilineare Reihen der verallgemeinerten Laguerreschen Polynome. Zbl 0021.12305
Erdélyi, Arthur
2
1938
Integration of a certain system of linear partial differential equations of hypergeometric type. Zbl 0027.39903
Erdélyi, Arthur
2
1939
Sir Edmund Whittaker. 1873–1956. Zbl 0109.00507
Erdélyi, Arthur
2
1957
An integral equation involving Legendre’s polynomial. Zbl 0122.34201
Erdélyi, Arthur
2
1963
Tables of integral transforms. Vol. 2: Besselsche Transformationen. Integrale von speziellen Funktionen (Tablitsy integral’nykh preobrazhovanij. Tom II: Preobrazhovaniya Besselya. Integraly ot spetsial’nykh funkcij.). Zbl 0204.50001
Erdélyi, Arthur; Oberhettinger, F.; Tricomi, Francesco
2
1970
Integraldarstellungen für Produkte Whittakerscher Funktionen. JFM 65.0294.01
Erdélyi, A.
2
1939
Higher transcendental functions. Vol. I. Based, in part, on notes left by Harry Bateman and compiled by the staff of the Bateman Manuscript Project. (Repr. of the orig. 1953 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0542.33001
Magnus, Wilhelm; Oberhettinger, Fritz; Tricomi, Francesco G.
55
1981
Higher transcendental functions. Vol. II. Based, in part, on notes left by Harry Bateman and compiled by the Staff of the Bateman Manuscript Project. (Repr. of the orig. 1953 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0505.33001
6
1981
Higher transcendental functions. Vol. III. Based, in part, on notes left by Harry Bateman and compiled by the Staff of the Bateman Manuscript Project. (Repr. of the orig. 1955 publ. by McGraw-Hill Book Company, Inc., New York). Zbl 0542.33002
6
1981
The Stieltjes transformation on weighted \(L_p\) spaces. Zbl 0396.44002
Erdélyi, Arthur
5
1978
An extension of a Hardy-Littlewood-Polya inequality. Zbl 0384.26009
Erdélyi, Arthur
2
1978
Stieltjes transforms of generalised functions. Zbl 0388.44004
Erdélyi, Arthur
4
1977
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
5
1975
Fractional integrals of generalized functions. Zbl 0309.26008
Erdélyi, Arthur
3
1975
Open questions for research. Zbl 0303.26005
1
1975
A case history in singular perturbations. Zbl 0316.34064
Erdélyi, Arthur
1
1975
Asymptotic evaluation of integrals involving a fractional derivative. Zbl 0281.41012
Erdélyi, Arthur
4
1974
Fractional integrals of generalised functions. Zbl 0236.46044
Erdélyi, Arthur
1
1972
Fractional integrals of distributions. Zbl 0207.43601
Erdélyi, Arthur; McBride, A. C.
5
1970
On the Euler-Poisson-Darboux equation. Zbl 0206.39802
Erdélyi, Arthur
3
1970
Tables of integral transforms. Vol. 2: Besselsche Transformationen. Integrale von speziellen Funktionen (Tablitsy integral’nykh preobrazhovanij. Tom II: Preobrazhovaniya Besselya. Integraly ot spetsial’nykh funkcij.). Zbl 0204.50001
Erdélyi, Arthur; Oberhettinger, F.; Tricomi, Francesco
2
1970
Tables of integral transforms. Vol. 1: Fourier, Laplace, Mellin transforms. Zbl 0184.33704
Erdélyi, Arthur; Magnus, V.; Oberhettinger, F.; Tricomi, Francesco
5
1969
Approximate solutions of a nonlinear boundary value problem. Zbl 0155.13203
Erdélyi, Arthur
10
1968
Two-variable expansions for singular perturbations. Zbl 0155.14402
Erdélyi, Arthur
6
1968
Some dual integral equations. Zbl 0177.39201
Erdélyi, Arthur
1
1968
Higher transcendental functions. Vol. 3: Elliptic and automorphic functions, Lamé und Mathieu functions. Zbl 0157.11901
Bateman, Harry; Erdélyi, Arthur
12
1967
Some integral equations involving finite parts of divergent integrals. Zbl 0147.10202
Erdélyi, Arthur
4
1967
Higher transcendental functions. Vol. 2. Zbl 0143.29202
Bateman, Harry; Erdélyi, Arthur
370
1966
Higher transcendental functions. The hypergeometric function. Legendre functions. Translation from the English by N.Ya. Vilenkin. Zbl 0146.09301
Bateman, Harry; Erdélyi, Arthur
35
1965
An application of fractional integrals. Zbl 0135.33801
Erdélyi, Arthur
11
1965
Axially symmetric potentials and fractional integration. Zbl 0158.12504
Erdélyi, Arthur
9
1965
An integral equation involving Legendre functions. Zbl 0178.14401
Erdélyi, Arthur
26
1964
The integral equations of asymptotic theory. Zbl 0178.14502
Erdélyi, Arthur
3
1964
The asymptotic evaluation of certain integrals. Zbl 0168.37903
Erdélyi, Arthur; Wyman, M.
22
1963
Note on a paper by Titchmarsh. Zbl 0115.30002
Erdélyi, Arthur
8
1963
Singular perturbations of boundary value problems involving ordinary differential equations. Zbl 0122.32501
Erdélyi, Arthur
3
1963
An integral equation involving Legendre’s polynomial. Zbl 0122.34201
Erdélyi, Arthur
2
1963
Fractional integration and dual integral equations. Zbl 0108.29201
Erdélyi, Arthur; Sneddon, I. N.
28
1962
Operational calculus and generalized functions. Zbl 0123.09502
Erdélyi, Arthur
17
1962
On a nonlinear boundary value problem involving a small parameter. Zbl 0161.06201
Erdélyi, Arthur
12
1962
Singular perturbations. Zbl 0118.08703
Erdélyi, Arthur
3
1962
Asymptotic expansions. Translated from the English by N. Ya. Vilenkin. (Асимптотические разложения.) Zbl 0100.28402
Erdélyi, Arthur
1
1962
General asymptotic expansions of Laplace integrals. Zbl 0097.08802
Erdélyi, Arthur
18
1961
Asymptotic forms for Laguerre polynomials. Zbl 0105.05401
Erdélyi, Arthur
16
1961
An expansion procedure for singular perturbations. Zbl 0107.31104
Erdélyi, Arthur
4
1961
Asymptotic solutions of differential equations with transition points or singularities. Zbl 0125.04802
Erdélyi, Arthur
18
1960
On a partial differential equation with two singular lines. Zbl 0084.09003
Copson, E. T.; Erdélyi, Arthur
8
1958
Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602
Erdélyi, Arthur; Swanson, C. A.
4
1957
Sir Edmund Whittaker. 1873–1956. Zbl 0109.00507
Erdélyi, Arthur
2
1957
Asymptotic expansions. Zbl 0070.29002
Erdélyi, Arthur
298
1956
Singularities of generalized axially symmetric potentials. Zbl 0071.32002
Erdélyi, Arthur
26
1956
Asymptotic expansions of Fourier integrals involving logarithmic singularities. Zbl 0072.11703
Erdélyi, Arthur
13
1956
Asymptotic solutions of differential equations with transition points. Zbl 0073.30904
Erdélyi, Arthur
1
1956
Higher transcendental functions. Vol. III. Zbl 0064.06302
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
418
1955
Asymptotic representations of Fourier integrals and the method of stationary phase. Zbl 0072.11702
Erdélyi, Arthur
48
1955
Tables of integral transforms. Vol. I. Zbl 0055.36401
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
719
1954
Tables of integral transforms. Vol. II. Based, in part, on notes left by Harry Bateman. Zbl 0058.34103
68
1954
On a generalization of the Laplace transformation. Zbl 0056.33102
Erdélyi, Arthur
7
1954
Parabolic cylinder functions of larger order. Zbl 0057.05502
Erdélyi, Arthur; Kennedy, M.; McGregor, J. L.
5
1954
Higher transcendental functions. Vol. I. Zbl 0051.30303
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
1953
Higher transcendental functions. Vol. II. Zbl 0052.29502
Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G.
920
1953
Variational principles in the mathematical theory of diffraction. Zbl 0052.43903
Erdélyi, Arthur
8
1953
Asymptotic solutions of differential equations with turning points. Review of the literature. Zbl 0052.09001
Bohnenblust, H. F.; Apostol, T. M.; Erdélyi, Arthur; Berkovitz, L. D.; Kennedy, M.; McGregor, J. L.
1
1953
On the finite difference analogue of Rodrigues’ formula. Zbl 0046.29902
Weber, Maria; Erdélyi, Arthur
20
1952
The asymptotic expansion of a ratio of gamma functions. Zbl 0043.29103
Tricomi, Francesco G.; Erdélyi, Arthur
91
1951
The analytic theory of systems of partial differential equations. Zbl 0044.09303
Erdélyi, Arthur
7
1951
On some functional transformations. Zbl 0044.11001
Erdélyi, Arthur
1
1951
Hypergeometric functions of two variables. Zbl 0041.39402
Erdélyi, Arthur
26
1950
Transformations of hypergeometric functions of two variables. Zbl 0031.02101
Erdélyi, Arthur
6
1948
Expansions of Lame functions into series of Legendre functions. Zbl 0030.11804
Erdélyi, Arthur
1
1948
Lamé-Wangerin functions. Zbl 0031.39202
Erdélyi, Arthur
1
1948
Harry Bateman. Zbl 0061.00515
Erdélyi, Arthur
1
1947
Note on the equation \(f(z) K_n'(z)-g(z) K_n(z)=0\). Zbl 0061.14101
Erdélyi, Arthur; Kermack, W. O.
1
1945
Certain expansions of solutions of the Heun equation. Zbl 0060.19502
Erdélyi, Arthur
15
1944
Inversion formulae for the Laplace transformation. Zbl 0060.25204
Erdélyi, Arthur
3
1943
Note on an inversion formula for the Laplace transformation. Zbl 0060.25205
Erdélyi, Arthur
1
1943
Integral equations for Heun functions. Zbl 0060.19503
Erdélyi, Arthur
8
1942
The Fuchsian equation of second order with four singularities. Zbl 0060.19501
Erdélyi, Arthur
5
1942
Integral equations for Lame functions. Zbl 0060.19710
Erdélyi, Arthur
2
1942
On certain expansions of the solutions of Mathieu’s differential equation. Zbl 0061.13509
Erdélyi, Arthur
1
1942
The Fuchsian equation of second order with four singularities. Zbl 0061.17308
Erdélyi, Arthur
1
1942
Some problems of non-associative combinations. II. Zbl 0060.02506
Erdélyi, Arthur; Etherington, I. M. H.
10
1941
On Lamé functions. JFM 67.0236.02
Erdélyi, A.
3
1941
Generating functions of certain continuous orthogonal systems. JFM 67.1009.01
Erdélyi, A.
3
1941
On some generalisations of Laguerre polynomials. 6, 193-221 (1941). Zbl 0063.01260
Erdélyi, Arthur
1
1941
Note on Heine’s integral representation of associated Legendre functions. Zbl 0063.01261
Erdélyi, Arthur
1
1941
On algebraic Lame functions. Zbl 0063.01262
Erdélyi, Arthur
1
1941
Integration of the differential equations of Appell’s function \(F_4\). Zbl 0028.22401
Erdélyi, Arthur
1
1941
Integration of the differential equations of Appell’s function \(F_4\). JFM 67.1016.03
Erdélyi, A.
1
1941
On fractional integration and its application to the theory of Hankel transforms. Zbl 0025.18602
Erdélyi, Arthur
16
1940
On fractional integration and its application to the theory of Hankel transforms. JFM 66.0522.01
Erdélyi, A.
16
1940
Some remarks on Hankel transforms. JFM 66.0521.01
Erdélyi, A.; Kober, H.
14
1940
Some remarks on Hankel transforms. Zbl 0025.18601
Erdélyi, Arthur; Kober, H.
7
1940
A class of hypergeometric transforms. JFM 66.1283.01
Erdélyi, A.
6
1940
Some confluent hypergeometric functions of two variables. JFM 66.0325.04
Erdélyi, A.
4
1940
Some confluent hypergeometric functions of two variables. Zbl 0063.01258
Erdélyi, Arthur
3
1940
On some biorthogonal sets of functions. Zbl 0024.10601
Erdélyi, Arthur
1
1940
Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials. JFM 65.0298.01
Erdélyi, A.
7
1939
Transformation of hypergeometric integrals by means of fractional integration by parts. JFM 65.1220.01
Erdélyi, A.
6
1939
Transformation of hypergeometric integrals by means of fractional integration by parts. Zbl 0022.13201
Erdélyi, Arthur
5
1939
Transformation einer gewissen nach Produkten konfluenter hypergeometrischer Funktionen fortschreitenden Reihe. JFM 65.0297.04
Erdélyi, A.
3
1939
Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 65.1268.02
Erdélyi, A.
3
1939
Integration of a certain system of linear partial differential equations of hypergeometric type. Zbl 0027.39903
Erdélyi, Arthur
2
1939
Integraldarstellungen für Produkte Whittakerscher Funktionen. JFM 65.0294.01
Erdélyi, A.
2
1939
Two infinite integrals. Zbl 0022.13503
Erdélyi, Arthur
1
1939
Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 66.1244.02
Erdélyi, A.
1
1939
...and 44 more Documents
all top 5

Cited by 5,012 Authors

137 Srivastava, Hari Mohan
53 Yakubovich, Semyon B.
32 Saxena, Ram Kishore
31 Erdélyi, Arthur
31 Ismail, Mourad El-Houssieny
24 Kilbas, Anatoliĭ Aleksandrovich
20 Choi, Junesang
19 Khan, Subuhi
19 Markett, Clemens
19 Wimp, Jet
18 Lin, Shyder
16 Gaboury, Sébastien
16 Mathai, Arakaparampli Mathai
15 Volchkov, Vitaliĭ Vladimirovich
14 Hasanov, Anvar H.
14 Povstenko, Yuriy Z.
13 Saigo, Megumi
13 Simon, Thomas
13 Yafaev, Dimitri R.
12 Butzer, Paul Leo
12 Coelho, Carlos Agra
12 Durán, Antonio José
12 Gilbert, Robert Pertsch
12 Gorbachëv, Dmitriĭ Viktorovich
12 Grinshpan, Arcadii Z.
12 Sandev, Trifce
12 Varona Malumbres, Juan Luis
12 von Wolfersdorf, Lothar
11 Aldashev, Serik Aĭmurzaevich
11 Chaudhry, Muhammad Aslam
11 Karp, Dmitriĭ Borisovich
11 Marques, Filipe J.
11 Miller, Willard jun.
11 Pogány, Tibor K.
11 Suthar, Daya Lal
11 Tarasov, Vasily E.
11 Wong, Roderick Sue-Chuen
11 Xiang, Shuhuang
10 Grandati, Yves
10 Kalla, Shyam Lal
10 Liu, Shuoh-Jung
10 Mehrez, Khaled
10 Raina, Ravinder Krishna
10 Sitnik, Sergei Mihailovich
10 Tremblay, Richard E.
10 Xu, Yuan
9 Agarwal, Praveen
9 Colton, David Lem
9 Dixit, Atul
9 Kobayashi, Toshiyuki
9 Lee, Doo-Sung
9 Luo, Minjie
9 Lyness, James N.
9 Moiseev, Evgeniĭ Ivanovich
9 Parmar, Rakesh Kumar
9 Qadir, Asghar
9 Qi, Feng
9 Rubin, Boris
8 Altin, Abdullah
8 Betancor Perez, Jorge Juan
8 Bin-Saad, Maged Gumaan
8 Brychkov, Yury A.
8 Forrester, Peter J.
8 Glaeske, Hans-Jürgen
8 Haubold, Hans Joachim
8 Ishkhanyan, Artur Michaĭlovich
8 Kang, Hongchao
8 Karachik, Valeriĭ Valentinovich
8 Khan, Nabiullah U.
8 López, José Luis
8 Müller, Detlef
8 Nobile, Amelia G.
8 Ong, Seng-Huat
8 Quesne, Christiane
8 Rathie, Arjun Kumar
8 Ricci, Fulvio
8 Sooppy Nisar, Kottakkaran
8 Tomovski, Živorad
8 Trujillo, Juan J.
8 Volchkov, Valeriĭ Vladimirovich
8 Volkmer, Hans
7 Askey, Richard Allen
7 Bajpai, Shri Dhar
7 Baricz, Árpád
7 Bezrodnykh, Sergeĭ I.
7 Borodin, Alexei
7 Buschman, Robert George
7 Calogero, Francesco A.
7 Carlson, Bille Chandler
7 Chen, Kungyu
7 Ciaurri, Óscar
7 Cohl, Howard Saul
7 Cvijović, Djurdje
7 Di Crescenzo, Antonio
7 Elezović, Neven
7 Engliš, Miroslav
7 Fan, Hong-Yi
7 Fields, Jerry Leon
7 Gasper, George Jun
7 González, Benito Juan
...and 4,912 more Authors
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Cited in 641 Serials

214 Journal of Mathematical Analysis and Applications
170 Integral Transforms and Special Functions
112 Applied Mathematics and Computation
108 Journal of Mathematical Physics
91 Journal of Computational and Applied Mathematics
83 Transactions of the American Mathematical Society
82 Proceedings of the American Mathematical Society
79 Mathematics of Computation
62 Theoretical and Mathematical Physics
62 Mathematische Zeitschrift
59 Mathematical Notes
53 Archive for Rational Mechanics and Analysis
50 ZAMP. Zeitschrift für angewandte Mathematik und Physik
49 Journal of Approximation Theory
45 Journal of Mathematical Sciences (New York)
45 The Ramanujan Journal
43 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
41 Communications in Mathematical Physics
41 Journal of Functional Analysis
41 Differential Equations
38 Mathematische Nachrichten
34 Journal d’Analyse Mathématique
34 Journal of Statistical Physics
34 Journal of Differential Equations
29 Advances in Mathematics
29 Mathematische Annalen
29 Communications in Statistics. Theory and Methods
29 Fractional Calculus & Applied Analysis
29 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
28 Journal of Number Theory
27 Lobachevskii Journal of Mathematics
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Duke Mathematical Journal
25 Constructive Approximation
24 Nuclear Physics. B
24 Numerische Mathematik
24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
23 Acta Mechanica
23 Annals of Physics
22 Journal of Engineering Mathematics
22 Ukrainian Mathematical Journal
22 Russian Journal of Mathematical Physics
22 Journal of High Energy Physics
21 Computers & Mathematics with Applications
21 Proceedings of the Edinburgh Mathematical Society. Series II
21 Advances in Difference Equations
20 Siberian Mathematical Journal
20 Stochastic Processes and their Applications
19 Applicable Analysis
19 Wave Motion
19 Compositio Mathematica
19 Integral Equations and Operator Theory
19 Studies in Applied Mathematics
18 Physics Letters. A
18 Annals of the Institute of Statistical Mathematics
18 Journal of Soviet Mathematics
18 Russian Mathematics
17 Astrophysics and Space Science
17 Journal of Applied Mathematics and Mechanics
17 Journal of Computational Physics
17 Annales de l’Institut Fourier
17 Journal of Integral Equations and Applications
17 Complex Analysis and Operator Theory
16 Monatshefte für Mathematik
16 Statistics & Probability Letters
16 St. Petersburg Mathematical Journal
16 Proceedings of the Steklov Institute of Mathematics
15 International Journal of Modern Physics A
15 International Journal of Engineering Science
15 The Annals of Probability
15 Inventiones Mathematicae
15 Advances in Applied Mathematics
15 Abstract and Applied Analysis
15 Analysis and Applications (Singapore)
14 Functional Analysis and its Applications
14 Proceedings of the Japan Academy. Series A
14 Results in Mathematics
14 The Journal of Fourier Analysis and Applications
14 Mediterranean Journal of Mathematics
13 Rocky Mountain Journal of Mathematics
13 Arkiv för Matematik
13 Chaos, Solitons and Fractals
13 Archiv der Mathematik
13 Journal of Theoretical Probability
12 Analysis Mathematica
12 Communications on Pure and Applied Mathematics
12 International Journal of Theoretical Physics
12 Letters in Mathematical Physics
12 Metrika
12 Physica A
12 Physica D
12 Numerical Algorithms
12 Linear Algebra and its Applications
12 International Journal of Number Theory
12 Monatshefte für Mathematik und Physik
11 Mathematical Methods in the Applied Sciences
11 Nagoya Mathematical Journal
11 Rendiconti del Seminario Matematico della Università di Padova
11 The Journal of Geometric Analysis
11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 541 more Serials
all top 5

Cited in 59 Fields

1,339 Special functions (33-XX)
700 Partial differential equations (35-XX)
426 Number theory (11-XX)
414 Probability theory and stochastic processes (60-XX)
404 Harmonic analysis on Euclidean spaces (42-XX)
386 Integral transforms, operational calculus (44-XX)
378 Quantum theory (81-XX)
367 Ordinary differential equations (34-XX)
351 Numerical analysis (65-XX)
344 Real functions (26-XX)
235 Operator theory (47-XX)
229 Approximations and expansions (41-XX)
224 Statistics (62-XX)
203 Functions of a complex variable (30-XX)
180 Integral equations (45-XX)
174 Mechanics of deformable solids (74-XX)
172 Functional analysis (46-XX)
168 Fluid mechanics (76-XX)
140 Statistical mechanics, structure of matter (82-XX)
102 Combinatorics (05-XX)
97 Abstract harmonic analysis (43-XX)
76 Global analysis, analysis on manifolds (58-XX)
74 Topological groups, Lie groups (22-XX)
69 Difference and functional equations (39-XX)
67 Potential theory (31-XX)
65 Optics, electromagnetic theory (78-XX)
64 Differential geometry (53-XX)
64 Relativity and gravitational theory (83-XX)
64 Biology and other natural sciences (92-XX)
63 Dynamical systems and ergodic theory (37-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
56 Several complex variables and analytic spaces (32-XX)
53 Algebraic geometry (14-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
50 Mechanics of particles and systems (70-XX)
48 Sequences, series, summability (40-XX)
38 Systems theory; control (93-XX)
28 Computer science (68-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
27 Information and communication theory, circuits (94-XX)
26 Operations research, mathematical programming (90-XX)
25 Group theory and generalizations (20-XX)
18 Classical thermodynamics, heat transfer (80-XX)
17 Nonassociative rings and algebras (17-XX)
17 Measure and integration (28-XX)
17 Astronomy and astrophysics (85-XX)
16 Convex and discrete geometry (52-XX)
15 History and biography (01-XX)
13 Geophysics (86-XX)
11 Geometry (51-XX)
9 Manifolds and cell complexes (57-XX)
8 Associative rings and algebras (16-XX)
6 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 \(K\)-theory (19-XX)
3 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic topology (55-XX)

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