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W. G. C. Boyd

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All published works
Action Title Year Authors
+ Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-Order Differential Equations: The Simple Pole Case 2020 W. G. C. Boyd
+ Error bounds for the method of steepest descents 2016 W. G. C. Boyd
+ Recent developments in asymptotics obtained via integral representations of Stieltjes-transform type(Algebraic Analysis of Singular Perturbations) 1996 W. G. C. Boyd
+ PDF Chat Steepest-descents integral representations for dominant solutions of linear second-order differential equations 1996 W. G. C. Boyd
+ PDF Chat Approximations for the late coefficients in asymptotic expansions arising in the method of steepest descents 1995 W. G. C. Boyd
+ Gamma function asymptotics by an extension of the method of steepest descents 1994 W. G. C. Boyd
+ Error bounds for the method of steepest descents 1993 W. G. C. Boyd
+ Stieltjes transforms and the Stokes phenomenon 1990 W. G. C. Boyd
+ Asymptotic expansions for the coefficient functions that arise in turning-point problems 1987 W. G. C. Boyd
+ Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions 1986 W. G. C. Boyd
T. M. Dunster
+ High-frequency scattering in a certain stratified medium: the three-part problem 1977 W. G. C. Boyd
+ 11.—High-Frequency Scattering in a Certain Stratified Medium. The Two-part Problem 1974 W. G. C. Boyd
+ The asymptotic analysis of canonical problems in high-frequency scattering theory 1973 W. G. C. Boyd
+ XVI.—Creeping Waves in an Inhomogeneous Medium 1971 W. G. C. Boyd
Common Coauthors
Coauthor Papers Together
T. M. Dunster 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Asymptotics and Special Functions 1997 F. W. J. Olver
 7
+ Handbook of Mathematical Functions 1966 Donald A. McQuarrie
 6
+ Stieltjes transforms and the Stokes phenomenon 1990 W. G. C. Boyd
 5
+ ASYMPTOTIC APPROXIMATIONS TO INTEGRALS 1980 5
+ Asymptotic Expansions: Their Derivation and Interpretation 1975 Y. L. L.
R. Dingle
 5
+ Uniform asymptotic smoothing of Stokes’s discontinuities 1989 Michael Berry
 4
+ Error bounds for the method of steepest descents 1993 W. G. C. Boyd
 3
+ Geometrical Theory of Diffraction in Inhomogeneous Media 1959 Bernard D. Seckler
Joseph B. Keller
 3
+ Error Bounds for Asymptotic Expansions of Integrals 1980 R. Wong
 3
+ High-frequency refraction and diffraction in general media 1963 D. S. Jones
 3
+ Asymptotic Approximations and Error Bounds 1980 F. W. J. Olver
 3
+ Asymptotic expansion of certain numbers related to the gamma function 1975 Odo Diekmann
 2
+ Why Steepest Descents? 1970 F. W. J. Olver
 2
+ Hyperasymptotics for integrals with saddles 2017 M. V. BERRY
C. J. HOWLS
 2
+ Asymptotics and Special Functions 1975 Wolfgang Wasow
F. W. Olver
 2
+ Gamma function asymptotics by an extension of the method of steepest descents 1994 W. G. C. Boyd
 2
+ Asymptotic Expansions of Integrals 1975 Norman Bleistein
Richard A. Handelsman
 2
+ Diffraction of a convex cylinder 1956 Joseph B. Keller
 2
+ The asymptotic expansion of legendre function of large degree and order 1957 R. C. Thorne
 1
+ Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter 1958 F. W. J. Olver
 1
+ ON AN INTEGRAL EQUATION ARISING IN THE THEORY OF DIFFRACTION 1946 E. T. Copson
 1
+ A Treatise on the Theory of Bessel Functions. 1923 Matthew Porter
G. N. Watson
 1
+ Handbook of Mathematical Functions. 1966 Juliette Florentin
Milton Abramowitz
Irene A. Stegun
 1
+ The asymptotic expansion of bessel functions of large order 1954 F. W. J. Olver
 1
+ Legendre functions with both parameters large 1975 F. W. J. Olver
 1
+ Integrals with a large parameter. Several nearly coincident saddle points 1972 F. Ursell
 1
+ Unfolding the high orders of asymptotic expansions with coalescing saddles: singularity theory, crossover and duality 1993 Michael Berry
C.J. Howls
 1
+ 11.—High-Frequency Scattering in a Certain Stratified Medium. The Two-part Problem 1974 W. G. C. Boyd
 1
+ LII.<i>The “converging factor” in asymptotic series and the calculation of Bessel, laguerre and other functions</i> 1937 John Airey
 1
+ PDF Chat Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations 1994 F. W. J. Olver
 1
+ The Laplace Transform. By D. V. Widder. Pp. x, 406. 36s. 1941. Princeton Mathematical series, 6. (Princeton University Press; Humphrey Milford) 1943 T. A. A. B.
 1
+ The asymptotic analysis of canonical problems in high-frequency scattering theory 1973 W. G. C. Boyd
 1
+ Uniform Asymptotic Remainders 2020 D. S. Jones
 1
+ Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral 1991 F. W. J. Olver
 1
+ Asymptotics and Special Functions 1974 1
+ Asymptotic Approximations 1963 F. D. Murnaghan
Harold Jeffreys
 1
+ PDF Chat Tables of integral transforms 1954 1
+ Asymptotic Approximations of Integrals 1989 1
+ Unsolved Problems in the Asymptotic Estimation of Special Functions 1975 F. W. J. Olver
 1
+ Asymptotic Approximations of Integrals 2001 R. Wong
 1
+ PDF Chat Tables of Integral Transforms 2005 Bateman Manuscript
H. Bateman
Arthur Erdélyi
 1
+ 15 Introduction to the theory of functions of a complex variable 2022 Vemuri Balakotaiah
Ram R. Ratnakar
 1
+ Asymptotic Expansions 1965 E. T. Copson
 1
+ Advanced mathematical methods for scientists and engineers 1978 Carl M. Bender
Steven A. Orszag
 1
+ A SIMPLIFYING TECHNIQUE IN THE SOLUTION OF A CLASS OF DIFFRACTION PROBLEMS 1952 D. S. Jones
 1
+ UNIFORM APPROXIMATIONS TO SOLUTIONS OF A LINEAR SECOND-ORDER DIFFERENTIAL EQUATION OUTSIDE A VANISHINGLY SMALL REGION CONTAINING TWO ASYMPTOTICALLY COINCIDENT TRANSITION POINTS 1979 Philip R. Baldwin
 1
+ PDF Chat Expansions in terms of Parabolic Cylinder Functions 1948 T. M. Cherry
 1
+ An algorithm for the evaluation of the complex Airy functions 1979 Z. Schulten
Donald G. Anderson
Roy G. Gordon
 1
+ On cylindrical waves in stratified media: high frequency refraction and diffraction at a plane interface 1970 Ian Roebuck
 1
+ The asymptotic solution of linear second order differential equations in a domain containing a turning point and a regular singularity 1957 R. C. Thorne
 1