Anglo-American mathematician

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".

- 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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