Harry Bateman | Academic Influence

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Mathematics

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Measure Theory

#181

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Why Is Harry Bateman Influential?

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According to Wikipedia, Harry Bateman FRS was an English mathematician with a specialty in differential equations of mathematical physics. With Ebenezer Cunningham, he expanded the views of spacetime symmetry of Lorentz and Poincare to a more expansive conformal group of spacetime leaving Maxwell's equations invariant. Moving to the U.S.A., and obtaining a Ph.D. in geometry with Frank Morley, he became a professor of mathematics at California Institute of Technology. There he taught fluid dynamics to students going into aerodynamics with Theodore von Karman. Bateman made a broad survey of applied differential equations in his Gibbs Lecture in 1943 titled, "The control of an elastic fluid".

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Harry Bateman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Higher Transcendental Functions (1954) (8884)
Tables of integral transforms (1955) (4209)
Partial Differential Equations of Mathematical Physics (1932) (608)
SOME RECENT RESEARCHES ON THE MOTION OF FLUIDS (1915) (563)
On Dissipative Systems and Related Variational Principles (1931) (375)
Higher Transcendental Functions [Volumes I-III] (1953) (357)
The Transformation of the Electrodynamical Equations (260)
Notes on a Differential Equation Which Occurs in the Two-Dimensional Motion of a Compressible Fluid and the Associated Variational Problems (1929) (138)
Tables of Integral Transforms [Volumes I & II] (1954) (91)
The Conformal Transformations of a Space of Four Dimensions and Their Applications to Geometrical Optics (88)
LXXVI. The probability variations in the distribution of α particles (1910) (73)
IRROTATIONAL MOTION OF A COMPRESSIBLE INVISCID FLUID. (1930) (66)
The Structure of an Electromagnetic Field. (1918) (62)
The Transformations of Coordinates which can be used to Transform one Physical Problem into Another (54)
The Lift and Drag Functions for an Elastic Fluid in Two Dimensional Irrotational Flow. (1938) (54)
The Solution of Partial Differential Equations by Means of Definite Integrals (44)
Some simple differential difference equations and the related functions (1943) (37)
Rayleigh Waves. (1938) (34)
The transformation of partial differential equations (1944) (32)
Halley's Methods for Solving Equations (1938) (31)
The Polynomial of Mittag-Leffler. (1940) (28)
On the Numerical Solution of Linear Integral Equations (1922) (27)
LXI. The solution of the integral equation connecting the velocity of propagation of an earthquake-wave in the interior of the earth with the times which the disturbance takes to travel to the different stations on the Earth's surface (1910) (26)
The $k$-function, a particular case of the confluent hypergeometric function (1931) (26)
Two systems of polynomials for the solution of Laplace’s integral equation (1936) (24)
The control of an elastic fluid (1945) (23)
An Orthogonal Property of the Hypergeometric Polynomial. (1942) (20)
Some Properties of a certain Set of Polynomials (1933) (19)
LXV. The relation between electromagnetism and geometry (1910) (19)
On the Inversion of a Definite Integral (18)
A Generalisation of the Legendre Polynomial (18)
Some Integral Equations of Potential Theory (1946) (16)
Spheroidal and bipolar coordinates (1938) (13)
Kummer's Quartic Surface as a Wave Surface (13)
The Polynomial F n (x) (1934) (13)
LXXXIX. Some problems in the theory of probability (1911) (11)
Logarithmic Solutions of Bianchi's Equation. (1933) (11)
ELECTRICITY AND GRAVITATION. (1920) (11)
CII. On the theory of light-quanta (1923) (10)
Problems of modern physics : a course of lectures delivered in the California Institute of Technology (9)
On a set of Kernels whose determinants form a Sturmian sequence (9)
A Guide to Tables of Bessel Functions (1944) (8)
Mathematical theory of sound ranging (8)
Functions Orthogonal in the Hermitian Sense. A New Application of Basic Numbers. (1934) (7)
The Inertial Coefficients of an Airship in a Frictionless Fluid (6)
Transmission of Light from a Point Source in a Medium Bounded by Diffusely Reflecting Parallel Plane Surfaces (1945) (6)
Light-Quanta and Interference (1923) (6)
Some Geometrical Theorems Connected with Laplace's Equation and the Equation of Wave Motion (1912) (6)
The Aerodynamics of Reacting Substances. (1939) (5)
The stress-energy tensor in electromagnetic theory and a new law of force (1922) (5)
Variational Principles in Electromagnetism (1933) (5)
A Partial Differential Equation Associated with Poisson's Work on the Theory of Sound (1938) (4)
Selective Functions and Operations (1934) (4)
A Solution of the Wave-Equation (4)
THE INFLUENCE OF METEOROLOGICAL CONDITIONS ON THE PROPAGATION OF SOUND (1914) (4)
Relations between Confluent Hypergeometric Functions. (1931) (4)
The Transformation of a Lagrangian Series into a Newtonian Series. (1939) (4)
The Polynomial F n (x) and Its Relation to Other Functions (1937) (4)
Progressive Waves of Finite Amplitude and Some Steady Motions of an Elastic Fluid. (1936) (4)
Transverse seismic waves on the surface of a semi-infinite solid composed of heterogeneous material (1928) (4)
DÖPPLER'S PRINCIPLE FOR A WINDY ATMOSPHERE (1917) (4)
The Double Tangents of a Binodal Quartic (3)
An electromagnetic theory of light-darts (1923) (3)
Radiation from a Moving Magneton. (1919) (3)
A New Type of Solution of Laplace's Equation (3)
VI. An electromagnetic theory of radiation (3)
Lagrange's Compound Pendulum (1931) (3)
A partial differential equation connected with the functions of the parabolic cylinder (1935) (3)
XCV. The reflexion of light at an ideal plane mirror moving with a uniform velocity of translation (1909) (3)
Polynomials associated with those of Lerch (1936) (3)
An extension of Lagrange’s expansion (1926) (3)
Rotating cylinders and rectilinear vortices (1919) (3)
On the Occasional Need of Very Accurate Logarithms (1925) (3)
Integrals Involving Legendre Functions (1938) (3)
The Derivation of Electromagnetic Fields from a Basic Wave-Function. (1924) (3)
An Extension of Schuster's Integral. (1946) (3)
The inversion of a definite integral (1907) (3)
Some integral relations (1944) (2)
Some Definite Integrals Occurring in Havelock's Work on the Wave Resistance of Ships (1949) (2)
XLVII. Corpuscular radiation (1913) (2)
Functional Differential Equations and Inequalities. (1936) (2)
SOUND RAYS AS EXTREMALS (1931) (2)
The solution of the wave equation by means of definite integrals (1918) (2)
Variable flow in pipes (1930) (2)
Electromagnetics; a Discussion of Fundamentals (1939) (2)
Two Integral Equations. (1945) (2)
Notes on electrical theory (1921) (2)
Some Expansion Associated with Bessel Functions. (1935) (2)
I. The field of an electron at rest and in uniform motion (2)
XC.Paraboloidal coordinates (1938) (2)
A Modification of Gordon's Equations (1927) (2)
On a Porism Connected with the Theory of Maxwell's Equations and a Method of Obtaining the Lines of Electric Force Due to a Moving Point Charge (1915) (2)
The structure of the ther (1915) (2)
THE LOCATION OF ENERGY. (1923) (2)
The Electromagnetic Vectors (1918) (2)
Physical Problems with Discontinuous Initial Conditions. (1930) (2)
The solution of harmonic equations by means of definite integrals (1940) (2)
THE FORM OF THE ETHER (1922) (2)
The Radiation of Energy and Angular Momentum (1926) (2)
Sidelights on Electromagnetic Theory (1934) (2)
Note on the Function F(a, b; c - n; z). (1944) (2)
Algebraic and Transcendental Equations Connected with the Form of Stream Lines (1926) (2)
Some Asymptotic Relations. (1942) (2)
The Nature of Light-Quanta (1923) (2)
The Influence of Tidal Theory upon the Development of Mathematics (1943) (2)
On some symmetrical potentials and the partial differential equationVssxx+Vssyy+Vtt=0 (1939) (2)
The Resistance of Ships (1941) (2)
Solutions of a Certain Partial Differential Equation. (1931) (2)
Collisions between Light-quanta (1924) (1)
A Possible Connexion between the Wave-Theory of Matter and Electro-Magnetism (1926) (1)
A New Type of Solution of Maxwell's Equations (1)
On a Differential Equation Occurring in Page's Theory of Electromagnetism. (1920) (1)
Coulomb's Function. (1938) (1)
The decay of a simple eddy (1)
XXXVIII. Some fundamental concepts of electrical theory (1917) (1)
REMARKS ON THE STABILITY AND SPINNING OF AIRPLANES AND PARACHUTES (1927) (1)
Some applications of Murphy's theorem (1933) (1)
The Form of a Ship (1941) (1)
A cubic curve connected with two triangles (1)
Schroedinger's Rule and Hydrodynamics (1933) (1)
II. Theory of the condenser in a new electrostatics (1)
On Lines of Electric Induction and the Conformal Transformations of a Space of Four Dimensions (1)
XIII. The classification of electromagnetic fields (1)
Some properties of spherical harmonics (1930) (1)
Lagrangian Functions and Schrödinger's Rule. (1927) (1)
The Symmetry of the Stress-Tensor Obtained by Schroedinger's Rule. (1927) (1)
Book Review: Scientific Papers (1)
Electrodynamics of moving media : Report of the National research council Committee on electrodynamics of moving media (1)
A certain system of linear partial differential equations (1916) (1)
The mean value of a function of spherical polar coordinates round a circle on a sphere (1915) (1)
Review: H. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics (1942) (1)
The Theory of Spherical and Ellipsoidal Harmonics.@@@Partial Differential Equations of Mathematical Physics. (1933) (1)
The Weddle Quartic Surface (0)
246. [K. 9. b.] Note on a Chinese Theorem (1907) (0)
XIX.—On Systems of Partial Differential Equations and the Transformation of Spherical Harmonics (0)
Review: J. H. Jeans, Report on Radiation and the Quantum-Theory (0)
Bessel Functions: A Treatise on the Theory of Bessel Functions . By G. N. Watson. Second edition. vi + 804 pp. 7½ × 10 inches. Cambridge University Press. New York: Macmillan. 1944. $15. (1945) (0)
A class of Integral Equations (0)
Accidents with Rotating Bodies (1947) (0)
Variation Problems for a Symmetrical Region (1933) (0)
Local Electromagnetic Fields (1925) (0)
Numerical integration of differential equations : report of Committee on Numerical Integration, Division of Physical Sciences, National Research Council (1933) (0)
Book Review: Mathematical Problems of Radiative Equilibrium (1935) (0)
Elemetare Elektronensysteme = Elementary systems of electrons (0)
Book Review: An Introductory Course of Mathematical Analysis (0)
Review: Charles Walmsley, An Introductory Course of Mathematical Analysis (1927) (0)
On Certain Vectors Associated with an Electromagnetic Field and the Reflection of a Disturbance at the Surface of a Perfect Conductor (0)
REVIEW: A Meteorological Treatise on the Circulation and Radiation in the Atmospheres of the Earth and of the Sun by F. H. Bigelow (1916) (0)
Review: Eberhard Hopf, Mathematical Problems of Radiative Equilibrium (1935) (0)
Book Review: The Absolute Relations of Time and Space (1922) (0)
The Theory of Integral Equations (0)
The Reality of the Roots of certain Transcendental Equations occurring in the theory of Integral Equations (0)
Review: Alfred A. Robb, The Absolute Relations of Time and Space (1922) (0)
Book Review: Operational Methods in Applied Mathematics (1942) (0)
The Transformation of a Particular type of Electromagnetic Field (0)
REVIEW: A Treatise on the Sun's Radiation and Other Solar Phenomena by Frank H. Bigelow (1919) (0)
Review: S. B. McLaren, Scientific Papers (1926) (0)
The Nature of a Moving Electric Charge and its Lines of Electric Force (0)
The Genesis of an Electro-Magnetic Field. (0)
Book Review: Les Équations de la Dynamique de l'Éther (0)

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