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Most Influential Person

Hungarian-born British mathematician

According to Wikipedia, Arthur Erdélyi FRS, FRSE was a Hungarian-born British mathematician. Erdélyi was a leading expert on special functions, particularly orthogonal polynomials and hypergeometric functions. Biography He was born Arthur Diamant in Budapest, Hungary to Ignác Josef Armin Diamant and Frederike Roth. His name was changed to Erdélyi when his mother remarried to Paul Erdélyi. He attended the primary and secondary schools there from 1914 to 1926. His interest in mathematics dates back to this time. Erdélyi was a Jew, and so it was difficult for him to receive a university education in his native Hungary. He travelled to Brno, Czechoslovakia, to obtain a degree in electrical engineering. However, after his flair for mathematics was discovered , he was persuaded to study the subject.

- Higher Transcendental Functions (1954) (9002)
- Tables of integral transforms (1955) (4255)
- The asymptotic expansion of a ratio of gamma functions. (1951) (207)
- Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities (1956) (170)
- Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase (1955) (109)
- Operational calculus and generalized functions (1962) (88)
- Fractional Integration and Dual Integral Equations (1962) (85)
- Higher Transcendental Functions. III (1956) (78)
- An Integral Equation Involving Legendre Functions (1964) (72)
- ON FRACTIONAL INTEGRATION AND ITS APPLICATION TO THE THEORY OF HANKEL TRANSFORMS (1940) (71)
- Certain expansions of solutions of the Heun equation (1944) (65)
- SOME REMARKS ON HANKEL TRANSFORMS (1940) (65)
- Asymptotic Solutions of Differential Equations with Transition Points or Singularities (1960) (62)
- Asymptotic Forms for Laguerre Polynomials (1960) (59)
- Singularities of generalized axially symmetric potentials (1956) (54)
- The asymptotic evaluation of certain integrals (1963) (51)
- Some problems of non-associative combinations (2) (1940) (48)
- On the Finite Difference Analogue of Rodrigues' Formula (1952) (46)
- Hypergeometric functions of two variables (1950) (45)
- General asymptotic expansions of laplace integrals (1961) (45)
- The Fuchsian equation of second order with four singularities (1942) (40)
- Fractional integrals of generalized functions (1972) (32)
- TRANSFORMATION OF HYPERGEOMETRIC INTEGRALS BY MEANS OF FRACTIONAL INTEGRATION BY PARTS (1939) (31)
- An application of fractional integrals (1965) (29)
- Axially Symmetric Potentials and Fractional Integration (1965) (26)
- INTEGRAL EQUATIONS FOR HEUN FUNCTIONS (1942) (24)
- The Hankel Transform of a Product of Whittaker's Functions (1938) (22)
- Note on the equation (1945) (21)
- On the Euler-Poisson-Darboux equation (1970) (21)
- Asymptotic forms of Whittaker’s confluent hypergeometric functions (1957) (20)
- Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials (1940) (20)
- Singular Perturbations of Boundary Value Problems Involving Ordinary Differential Equations (1963) (20)
- On Some Expansions in Laguerre Polynomials (1938) (19)
- NOTE ON A PAPER BY TITCHMARSH (1963) (18)
- Approximate solutions of a nonlinear boundary value problem (1968) (17)
- Some integral equations involving finite parts of divergent integrals (1967) (16)
- Two-Variable Expansions for Singular Perturbations (1968) (16)
- Fractional Integrals of Distributions (1970) (16)
- Asymptotic Evaluation of Integrals Involving a Fractional Derivative (1974) (15)
- Review: B. van der Pol and H. Bremmer, Operational calculus (1951) (14)
- XIII. On Lamé functions (1941) (14)
- Note on An Inversion Formula for the Laplace Transformation (1943) (14)
- SOME APPLICATIONS OF FRACTIONAL INTEGRATION (1963) (13)
- On a partial differential equation with two singular lines (1958) (13)
- An Integral Equation Involving Legendre's Polynomial (1963) (13)
- Integral equations for Lamé functions (1942) (10)
- LXI. Inversion formulæ for the Laplace transformation (1943) (10)
- Solved Problems in Analysis (1972) (9)
- XXII.—Integration of a Certain System of Linear Partial Differential Equations of Hypergeometric Type. (1940) (9)
- The analytic theory of systems of partial differential equations (1951) (9)
- Stieltjes transforms of generalised functions (1977) (9)
- An extension of a Hardy-Littlewood-Pólya inequality (1978) (8)
- The stieltjes transformation on weighted Lp spaces (1978) (8)
- XXVII.—Expansions of Lamé Functions into Series of Legendre Functions (1948) (8)
- Some Dual Integral Equations (1968) (8)
- XXXIX.—Transformations of Hypergeometric Functions of Two Variables (1948) (7)
- XXVI.—Some Confluent Hypergeometric Functions of Two Variables. (1940) (7)
- The Confluent Hypergeometric Function Vol 15 (1970) (6)
- Two infinite integrals (1939) (6)
- ON DIFFRACTION BY A STRIP. (1953) (6)
- Parabolic Cylinder Functions of Large Order (1954) (6)
- APPLICATIONS OF MODEL THEORY TO ALGEBRA, ANALYSIS AND PROBABILITY (1970) (5)
- A CASE HISTORY IN SINGULAR PERTURBATIONS (1975) (5)
- VI.—Generating Functions of Certain Continuous Orthogonal Systems (1941) (5)
- XXIX. Note on Heine's integral representation of associated Legendre functions (1941) (5)
- NOTE ON THE TRANSFORMATION OF EULERIAN HYPERGEOMETRIC INTEGRALS (1939) (5)
- Advanced Instruction in Practical Mathematics (1946) (5)
- Review: W. G. Bickley, L. J. Comrie, J. C. P. Miller, D. H. Sadler and A. J. Thompson, Bessel functions. Part II. Functions of positive integer order (1953) (5)
- XXVIII. On algebraic Lamé functions (1941) (5)
- INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF APPELL'S FUNCTION F4 (1941) (4)
- On certain expansions of the solutions of Mathieu'S differential equation (1942) (4)
- LXXV. Integral representations for products of Whittaker functions (1938) (4)
- MATCHED ASYMPTOTIC EXPANSIONS AND SINGULAR PERTURBATIONS (1974) (4)
- Lectures on asymptotic solutions of ordinary linear differential equations (1961) (4)
- Asymptotic representation of Laplace transforms with an application to inverse factorial series (1947) (4)
- Review: A. Kratzer and W. Franz, Transzendente Funktionen (1962) (3)
- Sir Edmund Whittaker, 1873–1956 (1957) (3)
- Survey of Mathematics (1968) (3)
- Asymptotic Forms of Coulomb Wave Functions, II (1955) (3)
- Fractional integrals of generalised functions (1972) (3)
- The general form of hypergeometric series of two variables (1951) (2)
- On a Generalisation of the Laplace Transformation (1954) (2)
- On a paper by Copson and Ferrar (1939) (2)
- An example in singular perturbations (1962) (2)
- An Integral Representation for the Product of Two Whittaker Functions (1939) (2)
- THE INVERSION OF THE LAPLACE TRANSFORMAT I ON (1950) (2)
- ON SOME BIORTHOGONAL SETS OF FUNCTIONS (1940) (2)
- A Class of Hypergeometric Transforms (1940) (2)
- PROCEEDINGS UNITED STATES‐JAPAN SEMINAR ON DIFFERENTIAL AND FUNCTIONAL EQUATIONS (1969) (2)
- On some generalisations of Laguerre polynomials (1941) (1)
- On the Connection between Hankel Transforms of Different Order (1941) (1)
- On Lambe's infinite integral formula (1940) (1)
- On certain expansions of the solutions of the general Lamé equation (1942) (1)
- The Hankel transform of Whittaker's function Wk, m(z) (1938) (1)
- ASYMPTOTIC SOLUTIONS OF DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (1965) (1)
- An Extension of the Concept of Real Number (1963) (1)
- On Certain Discontinuous Wave Functions (1947) (1)
- Review: Chester Snow, Hypergeometric and Legendre functions with applications to integral equations of potential theory (1954) (1)
- A Simple Circuit for FSK Modulation (1971) (1)
- Parametric Equations and Proper Interpretation of Mathematical Symbols (1951) (1)
- Thomas Murray MacRobert (1963) (0)
- XIV. Some integral representations of the associated Legendre functions (1940) (0)
- THE CONFLUENT HYPERGEOMETRIC FUNCTION (1970) (0)
- In memory of Cornelius Lánczos (1975) (0)
- LIE THEORY AND SPECIAL FUNCTIONS (1969) (0)
- EQUATIONS AND THE AVERAGING PRINCIPLE (1981) (0)
- Joseph Langley Burchnall (1978) (0)
- OBTAINING GENERATING FUNCTIONS (1973) (0)
- Lectures on Mikusiński's theory of operational calculus and generalized functions (1959) (0)
- S. G. Mikhlin, Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology . Translated from the Russian By A. H. Armstrong (Pergamon Press, 1964), xiv + 341 pp., 80s. (1964) (0)
- Ruth F. Curtain and A. J. Pritchard, Functional Analysis in Modern Applied Mathematics (Academic Press, London, 1977), ix+339 pp., £10·80. (1978) (0)
- Operational Calculus (1967) (0)
- Serge Lang, Elliptic Functions , (Addison-Wesley/W. A. Benjamin, Inc., 1974), xii + 326 pp., $17.50. (1975) (0)
- Review: R. P. Gilbert, Constructive methods for elliptic equations (1975) (0)
- [Book Reviews] (1966) (0)
- [Book Reviews] (1965) (0)
- Tables of Weber Functions, Volume 1, by I. Ye Kireyeva and K. A. Karpov. Mathematical Table Series volume 15. Pergarnon Press, Oxford, London, New York, Paris, 1961. xxiv + 364 pages. $ 20.00. (1962) (0)
- Generalized Integral Transformations (1970) (0)
- [Book Reviews] (1965) (0)
- Contributions to the theory of hypergeometric functions and other papers (1940) (0)
- Asymptotic expression of Whittaker's functions for real values of argument and parameters (1938) (0)
- NON‐STANDARD ANALYSIS (1967) (0)
- Baseband Pulse Transmission in a Chain of Analog Repeaters (1974) (0)
- S. Karlin, Total Positivity , Vol. I (Stanford University Press; London: Oxford University Press, 1968), xi + 576 pp., 166s. 6d. (1970) (0)
- The Transient Response of Bode's Ideal Feedback Amplifier* (1957) (0)
- Applying a Smoothing Criterion to the Kalman Filter (1978) (0)
- Tables of the Function F(z) = z 0 e x 2 dx v in the Complex Domain (1960) (0)

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