Edit Profile (opens in new tab) Erdélyi, Arthur Compute Distance To: Compute Author ID: erdelyi.arthur Published as: Erdélyi, Arthur; Erdélyi, A.; Erdélyi, Artur more...less 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 Co-Authors 193 single-authored 13 Bateman, Harry 9 Tricomi, Francesco Giacomo 8 Oberhettinger, Fritz 7 Magnus, Wilhelm 2 Kober, Hermann 1 Aczél, János Dezső 1 Apostol, Tom M. 1 Askey, Richard Allen 1 Baxter, E. F. 1 Berkovitz, Leonard David 1 Bohnenblust, H. Frederic 1 Butzer, Paul Leo 1 Copson, Edward Thomas 1 Etherington, I. M. H. 1 Gasper, George Jun 1 Haruki, Hiroshi 1 Helson, Henry 1 Hewitt, Edwin 1 Hille, Einar 1 Hochstadt, Harry 1 Holgate, S. 1 Kallman, Robert R. 1 Kermack, William Ogilvie 1 Lew, John S. 1 Lorch, Edgar Raymond 1 Lorch, Lee 1 Love, Eric Russell 1 McBride, Adam C. 1 Mikolás, Miklós 1 Osler, Thomas J. 1 Papas, Charles H. 1 Phillips, Ralph Saul 1 Rickart, Charles E. 1 Ross, Bertram 1 Rota, Gian-Carlo 1 Sneddon, Ian Naismith 1 Sucheston, Louis 1 Swanson, Charles A. 1 Taam, Choy-Tak 1 Tandori, Károly 1 Weber, Maria 1 Widder, David Vernon 1 Wyman, Max 1 Yosida, Kosaku 1 Zaanen, Adriaan Cornelis 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 all top 5 Fields 7 History and biography (01-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 3 Approximations and expansions (41-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications 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 0051.30303Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 1,526 1953 Higher transcendental functions. Vol. II. Zbl 0052.29502Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 920 1953 Tables of integral transforms. Vol. I. Zbl 0055.36401Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 719 1954 Higher transcendental functions. Vol. III. Zbl 0064.06302Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 418 1955 Higher transcendental functions. Vol. 2. Zbl 0143.29202Bateman, Harry; Erdélyi, Arthur 370 1966 Asymptotic expansions. Zbl 0070.29002Erdélyi, Arthur 298 1956 The asymptotic expansion of a ratio of gamma functions. Zbl 0043.29103Tricomi, 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 0542.33001Magnus, Wilhelm; Oberhettinger, Fritz; Tricomi, Francesco G. 55 1981 Asymptotic representations of Fourier integrals and the method of stationary phase. Zbl 0072.11702Erdélyi, Arthur 48 1955 Higher transcendental functions. The hypergeometric function. Legendre functions. Translation from the English by N.Ya. Vilenkin. Zbl 0146.09301Bateman, Harry; Erdélyi, Arthur 35 1965 Fractional integration and dual integral equations. Zbl 0108.29201Erdélyi, Arthur; Sneddon, I. N. 28 1962 Hypergeometric functions of two variables. Zbl 0041.39402Erdélyi, Arthur 26 1950 Singularities of generalized axially symmetric potentials. Zbl 0071.32002Erdélyi, Arthur 26 1956 An integral equation involving Legendre functions. Zbl 0178.14401Erdélyi, Arthur 26 1964 The asymptotic evaluation of certain integrals. Zbl 0168.37903Erdélyi, Arthur; Wyman, M. 22 1963 On the finite difference analogue of Rodrigues’ formula. Zbl 0046.29902Weber, Maria; Erdélyi, Arthur 20 1952 General asymptotic expansions of Laplace integrals. Zbl 0097.08802Erdélyi, Arthur 18 1961 Asymptotic solutions of differential equations with transition points or singularities. Zbl 0125.04802Erdélyi, Arthur 18 1960 Operational calculus and generalized functions. Zbl 0123.09502Erdélyi, Arthur 17 1962 On fractional integration and its application to the theory of Hankel transforms. Zbl 0025.18602Erdélyi, Arthur 16 1940 Asymptotic forms for Laguerre polynomials. Zbl 0105.05401Erdélyi, Arthur 16 1961 On fractional integration and its application to the theory of Hankel transforms. JFM 66.0522.01Erdélyi, A. 16 1940 Über einige bestimmte Integrale, in denen die Whittakerschen \(M_{k,m}\)- Funktionen auftreten. Zbl 0013.06405Erdélyi, Artur 15 1936 Certain expansions of solutions of the Heun equation. Zbl 0060.19502Erdélyi, Arthur 15 1944 Some remarks on Hankel transforms. JFM 66.0521.01Erdélyi, A.; Kober, H. 14 1940 Asymptotic expansions of Fourier integrals involving logarithmic singularities. Zbl 0072.11703Erdélyi, Arthur 13 1956 Higher transcendental functions. Vol. 3: Elliptic and automorphic functions, Lamé und Mathieu functions. Zbl 0157.11901Bateman, Harry; Erdélyi, Arthur 12 1967 On a nonlinear boundary value problem involving a small parameter. Zbl 0161.06201Erdélyi, Arthur 12 1962 An application of fractional integrals. Zbl 0135.33801Erdélyi, Arthur 11 1965 Über eine Methode zur Gewinnung von Funktionalbeziehungen zwischen konfluenten hypergeometrischen Funktionen. Zbl 0015.21104Erdélyi, Artur 10 1936 Approximate solutions of a nonlinear boundary value problem. Zbl 0155.13203Erdélyi, Arthur 10 1968 Some problems of non-associative combinations. II. Zbl 0060.02506Erdélyi, Arthur; Etherington, I. M. H. 10 1941 Axially symmetric potentials and fractional integration. Zbl 0158.12504Erdélyi, Arthur 9 1965 Funktionalrelationen mit konfluenten hypergeometrischen Funktionen. I. Additions- und Multiplikationstheoreme. Zbl 0015.21103Erdélyi, Artur 8 1936 On a partial differential equation with two singular lines. Zbl 0084.09003Copson, E. T.; Erdélyi, Arthur 8 1958 Note on a paper by Titchmarsh. Zbl 0115.30002Erdélyi, Arthur 8 1963 Variational principles in the mathematical theory of diffraction. Zbl 0052.43903Erdélyi, Arthur 8 1953 Integral equations for Heun functions. Zbl 0060.19503Erdélyi, Arthur 8 1942 Some remarks on Hankel transforms. Zbl 0025.18601Erdélyi, Arthur; Kober, H. 7 1940 The analytic theory of systems of partial differential equations. Zbl 0044.09303Erdélyi, Arthur 7 1951 Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials. JFM 65.0298.01Erdélyi, A. 7 1939 On a generalization of the Laplace transformation. Zbl 0056.33102Erdélyi, Arthur 7 1954 Zur Theorie der Kugelwellen. Zbl 0016.02202Erdélyi, Artur 6 1937 Transformations of hypergeometric functions of two variables. Zbl 0031.02101Erdélyi, Arthur 6 1948 Two-variable expansions for singular perturbations. Zbl 0155.14402Erdélyi, 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 66.1283.01Erdélyi, A. 6 1940 Transformation of hypergeometric integrals by means of fractional integration by parts. JFM 65.1220.01Erdélyi, A. 6 1939 On some expansions in Laguerre polynomials. JFM 64.0355.02Erdélyi, A. 6 1938 Über eine erzeugende Funktion von Produkten Hermitescher Polynome. JFM 64.1085.03Erdélyi, A. 6 1938 Beitrag zur Theorie der konfluenten hypergeometrischen Funktionen von mehreren Veränderlichen. JFM 63.0997.01Erdélyi, A. 6 1937 Über einige bestimmte Integrale, in denen die Whittakerschen \(M_{k,m}\)-Funktionen auftreten. JFM 62.0418.01Erdélyi, A. 6 1936 The Stieltjes transformation on weighted \(L_p\) spaces. Zbl 0396.44002Erdélyi, Arthur 5 1978 Der Zusammenhang zwischen verschiedenen Integraldarstellungen hypergeometrischer Funktionen. Zbl 0017.16301Erdélyi, Arthur 5 1937 Transformation of hypergeometric integrals by means of fractional integration by parts. Zbl 0022.13201Erdélyi, Arthur 5 1939 Tables of integral transforms. Vol. 1: Fourier, Laplace, Mellin transforms. Zbl 0184.33704Erdélyi, Arthur; Magnus, V.; Oberhettinger, F.; Tricomi, Francesco 5 1969 Fractional integrals of distributions. Zbl 0207.43601Erdélyi, Arthur; McBride, A. C. 5 1970 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002Hille, Einar 5 1975 Zur Theorie der Kugelwellen. JFM 63.0324.01Erdélyi, A. 5 1937 Über die freien Schwingungen in Kondensatorkreisen mit periodisch veränderlicher Kapazität. JFM 60.0752.04Erdélyi, A. 5 1934 Parabolic cylinder functions of larger order. Zbl 0057.05502Erdélyi, Arthur; Kennedy, M.; McGregor, J. L. 5 1954 The Fuchsian equation of second order with four singularities. Zbl 0060.19501Erdélyi, Arthur 5 1942 Stieltjes transforms of generalised functions. Zbl 0388.44004Erdélyi, Arthur 4 1977 Integraldarstellungen hypergeometrischer Funktionen. Zbl 0018.01903Erdélyi, Artur 4 1937 Beitrag zur Theorie der konfluenten hypergeometrischen Funktionen von mehreren Veränderlichen. Zbl 0018.39902Erdélyi, Artur 4 1937 An expansion procedure for singular perturbations. Zbl 0107.31104Erdélyi, Arthur 4 1961 Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602Erdélyi, Arthur; Swanson, C. A. 4 1957 Some integral equations involving finite parts of divergent integrals. Zbl 0147.10202Erdélyi, Arthur 4 1967 Some confluent hypergeometric functions of two variables. JFM 66.0325.04Erdélyi, A. 4 1940 The Hankel transform of a product of Whittaker’s functions. JFM 64.0342.02Erdélyi, A. 4 1938 Integraldarstellungen hypergeometrischer Funktionen. JFM 63.0320.03Erdélyi, A. 4 1937 Gewisse Reihentransformationen, die mit der linearen Transformationsformel der Thetafunktion zusammenhängen. JFM 63.0385.01Erdélyi, A. 4 1937 Entwicklung einer analytischen Funktion nach Whittakerschen Funktionen. JFM 62.0421.01Erdélyi, A. 4 1936 Asymptotic evaluation of integrals involving a fractional derivative. Zbl 0281.41012Erdélyi, Arthur 4 1974 Some confluent hypergeometric functions of two variables. Zbl 0063.01258Erdélyi, Arthur 3 1940 Über gewisse Funktionalbeziehungen. Zbl 0016.16203Erdélyi, Artur 3 1937 On some expansions in Laguerre polynomials. Zbl 0019.25501Erdélyi, Arthur 3 1938 Singular perturbations. Zbl 0118.08703Erdélyi, Arthur 3 1962 Singular perturbations of boundary value problems involving ordinary differential equations. Zbl 0122.32501Erdélyi, Arthur 3 1963 The integral equations of asymptotic theory. Zbl 0178.14502Erdélyi, Arthur 3 1964 On the Euler-Poisson-Darboux equation. Zbl 0206.39802Erdélyi, Arthur 3 1970 On Lamé functions. JFM 67.0236.02Erdélyi, A. 3 1941 Generating functions of certain continuous orthogonal systems. JFM 67.1009.01Erdélyi, A. 3 1941 Transformation einer gewissen nach Produkten konfluenter hypergeometrischer Funktionen fortschreitenden Reihe. JFM 65.0297.04Erdélyi, A. 3 1939 Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 65.1268.02Erdélyi, A. 3 1939 Über die kleinen Schwingungen eines Pendels mit oszillierendem Aufhängepunkt. JFM 60.0695.03Erdélyi, A. 3 1934 Inversion formulae for the Laplace transformation. Zbl 0060.25204Erdélyi, Arthur 3 1943 Fractional integrals of generalized functions. Zbl 0309.26008Erdélyi, Arthur 3 1975 Über Schwingungskreise mit langsam pulsierender Dämpfung (Zur Theorie des Pendelrückkoppelungsempfängers). Zbl 0012.09503Erdélyi, Artur 2 1935 Entwicklung einer analytischen Funktion nach Whittakerschen Funktionen. Zbl 0015.21201Erdélyi, Artur 2 1936 Die Funksche Integralgleichung der Kugelflächenfunktionen und ihre Übertragung auf die Überkugel. Zbl 0018.25501Erdélyi, Artur 2 1938 Über eine erzeugende Funktion von Produkten Hermitescher Polynome. Zbl 0019.11304Erdélyi, Artur 2 1938 Bilineare Reihen der verallgemeinerten Laguerreschen Polynome. Zbl 0021.12305Erdélyi, Arthur 2 1938 Integration of a certain system of linear partial differential equations of hypergeometric type. Zbl 0027.39903Erdélyi, Arthur 2 1939 Sir Edmund Whittaker. 1873–1956. Zbl 0109.00507Erdélyi, Arthur 2 1957 An integral equation involving Legendre’s polynomial. Zbl 0122.34201Erdélyi, 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 0204.50001Erdélyi, Arthur; Oberhettinger, F.; Tricomi, Francesco 2 1970 Integraldarstellungen für Produkte Whittakerscher Funktionen. JFM 65.0294.01Erdélyi, 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 0542.33001Magnus, 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 0396.44002Erdélyi, Arthur 5 1978 An extension of a Hardy-Littlewood-Polya inequality. Zbl 0384.26009Erdélyi, Arthur 2 1978 Stieltjes transforms of generalised functions. Zbl 0388.44004Erdélyi, Arthur 4 1977 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002Hille, Einar 5 1975 Fractional integrals of generalized functions. Zbl 0309.26008Erdélyi, Arthur 3 1975 Open questions for research. Zbl 0303.26005 1 1975 A case history in singular perturbations. Zbl 0316.34064Erdélyi, Arthur 1 1975 Asymptotic evaluation of integrals involving a fractional derivative. Zbl 0281.41012Erdélyi, Arthur 4 1974 Fractional integrals of generalised functions. Zbl 0236.46044Erdélyi, Arthur 1 1972 Fractional integrals of distributions. Zbl 0207.43601Erdélyi, Arthur; McBride, A. C. 5 1970 On the Euler-Poisson-Darboux equation. Zbl 0206.39802Erdélyi, 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 0204.50001Erdélyi, Arthur; Oberhettinger, F.; Tricomi, Francesco 2 1970 Tables of integral transforms. Vol. 1: Fourier, Laplace, Mellin transforms. Zbl 0184.33704Erdélyi, Arthur; Magnus, V.; Oberhettinger, F.; Tricomi, Francesco 5 1969 Approximate solutions of a nonlinear boundary value problem. Zbl 0155.13203Erdélyi, Arthur 10 1968 Two-variable expansions for singular perturbations. Zbl 0155.14402Erdélyi, Arthur 6 1968 Some dual integral equations. Zbl 0177.39201Erdélyi, Arthur 1 1968 Higher transcendental functions. Vol. 3: Elliptic and automorphic functions, Lamé und Mathieu functions. Zbl 0157.11901Bateman, Harry; Erdélyi, Arthur 12 1967 Some integral equations involving finite parts of divergent integrals. Zbl 0147.10202Erdélyi, Arthur 4 1967 Higher transcendental functions. Vol. 2. Zbl 0143.29202Bateman, Harry; Erdélyi, Arthur 370 1966 Higher transcendental functions. The hypergeometric function. Legendre functions. Translation from the English by N.Ya. Vilenkin. Zbl 0146.09301Bateman, Harry; Erdélyi, Arthur 35 1965 An application of fractional integrals. Zbl 0135.33801Erdélyi, Arthur 11 1965 Axially symmetric potentials and fractional integration. Zbl 0158.12504Erdélyi, Arthur 9 1965 An integral equation involving Legendre functions. Zbl 0178.14401Erdélyi, Arthur 26 1964 The integral equations of asymptotic theory. Zbl 0178.14502Erdélyi, Arthur 3 1964 The asymptotic evaluation of certain integrals. Zbl 0168.37903Erdélyi, Arthur; Wyman, M. 22 1963 Note on a paper by Titchmarsh. Zbl 0115.30002Erdélyi, Arthur 8 1963 Singular perturbations of boundary value problems involving ordinary differential equations. Zbl 0122.32501Erdélyi, Arthur 3 1963 An integral equation involving Legendre’s polynomial. Zbl 0122.34201Erdélyi, Arthur 2 1963 Fractional integration and dual integral equations. Zbl 0108.29201Erdélyi, Arthur; Sneddon, I. N. 28 1962 Operational calculus and generalized functions. Zbl 0123.09502Erdélyi, Arthur 17 1962 On a nonlinear boundary value problem involving a small parameter. Zbl 0161.06201Erdélyi, Arthur 12 1962 Singular perturbations. Zbl 0118.08703Erdélyi, Arthur 3 1962 Asymptotic expansions. Translated from the English by N. Ya. Vilenkin. (Асимптотические разложения.) Zbl 0100.28402Erdélyi, Arthur 1 1962 General asymptotic expansions of Laplace integrals. Zbl 0097.08802Erdélyi, Arthur 18 1961 Asymptotic forms for Laguerre polynomials. Zbl 0105.05401Erdélyi, Arthur 16 1961 An expansion procedure for singular perturbations. Zbl 0107.31104Erdélyi, Arthur 4 1961 Asymptotic solutions of differential equations with transition points or singularities. Zbl 0125.04802Erdélyi, Arthur 18 1960 On a partial differential equation with two singular lines. Zbl 0084.09003Copson, E. T.; Erdélyi, Arthur 8 1958 Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602Erdélyi, Arthur; Swanson, C. A. 4 1957 Sir Edmund Whittaker. 1873–1956. Zbl 0109.00507Erdélyi, Arthur 2 1957 Asymptotic expansions. Zbl 0070.29002Erdélyi, Arthur 298 1956 Singularities of generalized axially symmetric potentials. Zbl 0071.32002Erdélyi, Arthur 26 1956 Asymptotic expansions of Fourier integrals involving logarithmic singularities. Zbl 0072.11703Erdélyi, Arthur 13 1956 Asymptotic solutions of differential equations with transition points. Zbl 0073.30904Erdélyi, Arthur 1 1956 Higher transcendental functions. Vol. III. Zbl 0064.06302Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 418 1955 Asymptotic representations of Fourier integrals and the method of stationary phase. Zbl 0072.11702Erdélyi, Arthur 48 1955 Tables of integral transforms. Vol. I. Zbl 0055.36401Erdélyi, 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 0056.33102Erdélyi, Arthur 7 1954 Parabolic cylinder functions of larger order. Zbl 0057.05502Erdélyi, Arthur; Kennedy, M.; McGregor, J. L. 5 1954 Higher transcendental functions. Vol. I. Zbl 0051.30303Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 1,526 1953 Higher transcendental functions. Vol. II. Zbl 0052.29502Erdélyi, Arthur; Magnus, W.; Oberhettinger, F.; Tricomi, Francesco G. 920 1953 Variational principles in the mathematical theory of diffraction. Zbl 0052.43903Erdélyi, Arthur 8 1953 Asymptotic solutions of differential equations with turning points. Review of the literature. Zbl 0052.09001Bohnenblust, 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 0046.29902Weber, Maria; Erdélyi, Arthur 20 1952 The asymptotic expansion of a ratio of gamma functions. Zbl 0043.29103Tricomi, Francesco G.; Erdélyi, Arthur 91 1951 The analytic theory of systems of partial differential equations. Zbl 0044.09303Erdélyi, Arthur 7 1951 On some functional transformations. Zbl 0044.11001Erdélyi, Arthur 1 1951 Hypergeometric functions of two variables. Zbl 0041.39402Erdélyi, Arthur 26 1950 Transformations of hypergeometric functions of two variables. Zbl 0031.02101Erdélyi, Arthur 6 1948 Expansions of Lame functions into series of Legendre functions. Zbl 0030.11804Erdélyi, Arthur 1 1948 Lamé-Wangerin functions. Zbl 0031.39202Erdélyi, Arthur 1 1948 Harry Bateman. Zbl 0061.00515Erdélyi, Arthur 1 1947 Note on the equation \(f(z) K_n'(z)-g(z) K_n(z)=0\). Zbl 0061.14101Erdélyi, Arthur; Kermack, W. O. 1 1945 Certain expansions of solutions of the Heun equation. Zbl 0060.19502Erdélyi, Arthur 15 1944 Inversion formulae for the Laplace transformation. Zbl 0060.25204Erdélyi, Arthur 3 1943 Note on an inversion formula for the Laplace transformation. Zbl 0060.25205Erdélyi, Arthur 1 1943 Integral equations for Heun functions. Zbl 0060.19503Erdélyi, Arthur 8 1942 The Fuchsian equation of second order with four singularities. Zbl 0060.19501Erdélyi, Arthur 5 1942 Integral equations for Lame functions. Zbl 0060.19710Erdélyi, Arthur 2 1942 On certain expansions of the solutions of Mathieu’s differential equation. Zbl 0061.13509Erdélyi, Arthur 1 1942 The Fuchsian equation of second order with four singularities. Zbl 0061.17308Erdélyi, Arthur 1 1942 Some problems of non-associative combinations. II. Zbl 0060.02506Erdélyi, Arthur; Etherington, I. M. H. 10 1941 On Lamé functions. JFM 67.0236.02Erdélyi, A. 3 1941 Generating functions of certain continuous orthogonal systems. JFM 67.1009.01Erdélyi, A. 3 1941 On some generalisations of Laguerre polynomials. 6, 193-221 (1941). Zbl 0063.01260Erdélyi, Arthur 1 1941 Note on Heine’s integral representation of associated Legendre functions. Zbl 0063.01261Erdélyi, Arthur 1 1941 On algebraic Lame functions. Zbl 0063.01262Erdélyi, Arthur 1 1941 Integration of the differential equations of Appell’s function \(F_4\). Zbl 0028.22401Erdélyi, Arthur 1 1941 Integration of the differential equations of Appell’s function \(F_4\). JFM 67.1016.03Erdélyi, A. 1 1941 On fractional integration and its application to the theory of Hankel transforms. Zbl 0025.18602Erdélyi, Arthur 16 1940 On fractional integration and its application to the theory of Hankel transforms. JFM 66.0522.01Erdélyi, A. 16 1940 Some remarks on Hankel transforms. JFM 66.0521.01Erdélyi, A.; Kober, H. 14 1940 Some remarks on Hankel transforms. Zbl 0025.18601Erdélyi, Arthur; Kober, H. 7 1940 A class of hypergeometric transforms. JFM 66.1283.01Erdélyi, A. 6 1940 Some confluent hypergeometric functions of two variables. JFM 66.0325.04Erdélyi, A. 4 1940 Some confluent hypergeometric functions of two variables. Zbl 0063.01258Erdélyi, Arthur 3 1940 On some biorthogonal sets of functions. Zbl 0024.10601Erdélyi, Arthur 1 1940 Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials. JFM 65.0298.01Erdélyi, A. 7 1939 Transformation of hypergeometric integrals by means of fractional integration by parts. JFM 65.1220.01Erdélyi, A. 6 1939 Transformation of hypergeometric integrals by means of fractional integration by parts. Zbl 0022.13201Erdélyi, Arthur 5 1939 Transformation einer gewissen nach Produkten konfluenter hypergeometrischer Funktionen fortschreitenden Reihe. JFM 65.0297.04Erdélyi, A. 3 1939 Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 65.1268.02Erdélyi, A. 3 1939 Integration of a certain system of linear partial differential equations of hypergeometric type. Zbl 0027.39903Erdélyi, Arthur 2 1939 Integraldarstellungen für Produkte Whittakerscher Funktionen. JFM 65.0294.01Erdélyi, A. 2 1939 Two infinite integrals. Zbl 0022.13503Erdélyi, Arthur 1 1939 Integration of a certain system of linear partial differential equations of hypergeometric type. JFM 66.1244.02Erdélyi, A. 1 1939 ...and 44 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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