Bibliography U

H. Umemura and H. Watanabe (1998)
Solutions of the third Painlevé equation. I.
Nagoya Math. J. 151, pp. 1–24.

H. Umemura (2000)
On the transformation group of the second Painlevé equation.
Nagoya Math. J. 157, pp. 15–46.

Unpublished Mathematical Tables (1944)
Mathematics of Computation Unpublished Mathematical Tables Collection.

J. Urbanowicz (1988)
On the equation $f(1){1}^{k}+f(2){2}^{k}+\mathrm{\cdots}+f(x){x}^{k}+R(x)=B{y}^{2}$.
Acta Arith. 51 (4), pp. 349–368.

F. Ursell (1960)
On Kelvin’s shipwave pattern.
J. Fluid Mech. 8 (3), pp. 418–431.

F. Ursell (1972)
Integrals with a large parameter. Several nearly coincident saddlepoints.
Proc. Cambridge Philos. Soc. 72, pp. 49–65.

F. Ursell (1980)
Integrals with a large parameter: A double complex integral with four nearly coincident saddlepoints.
Math. Proc. Cambridge Philos. Soc. 87 (2), pp. 249–273.

F. Ursell (1984)
Integrals with a large parameter: Legendre functions of large degree and fixed order.
Math. Proc. Cambridge Philos. Soc. 95 (2), pp. 367–380.

F. Ursell (1994)
Ship Hydrodynamics, Water Waves and Asymptotics.
Collected works of F. Ursell, 19461992, Vol. 2, World Scientific, Singapore.

K. M. Urwin and F. M. Arscott (1970)
Theory of the WhittakerHill equation.
Proc. Roy. Soc. Edinburgh Sect. A 69, pp. 28–44.

K. M. Urwin (1964)
Integral equations for paraboloidal wave functions. I.
Quart. J. Math. Oxford Ser. (2) 15, pp. 309–315.

K. M. Urwin (1965)
Integral equations for the paraboloidal wave functions. II.
Quart. J. Math. Oxford Ser. (2) 16, pp. 257–262.

J. V. Uspensky and M. A. Heaslet (1939)
Elementary Number Theory.
McGrawHill Book Company, Inc., New York.

T. Uzer, J. T. Muckerman and M. S. Child (1983)
Collisions and umbilic catastrophes. The hyperbolic umbilic canonical diffraction integral.
Molecular Phys. 50 (6), pp. 1215–1230.