Table of Contents
Preface Contributors INVITED PAPERS Graphs as an Aid to Understanding Special Functions /by R. A. Askey Asymptotics of Integals, Series, and Operators /by L. Berg Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-Order Differential Equations: The Simple Pole Case /by W. G. C. Boyd Landen Transformations of Integrals /by B. C. Carlson Accelerating the Convergence of Chebyshev Series /by L. M. Ciasullo and J, A. Cochran Practical Methods for the Uniform Asymptotic Evaluation of Oscillating Integrals with Several Coalescing Saddle Points /by J. N. L. Connor New Inequalities for the Zeros of Confluent Hypergeometric Functions /by Luigi Gatteschi How (Un)stable Are Vandermonde Systems? /by Walter Gautschi Singular Point and Exponential Asymptotics /by Floyd B. Hanson Uniform Asymptotic Remainders /by D. S. Jones Period Tripling and Subharmonic Oscillations in Marangoni Flows in a Cylindrical Liquid Bridge /by Nicholas D. Kazarinoff and Joseph S. Wilkowski Positive Solutions for Degenerate and Nondegenerate Elliptic Systems: Existence and Numerical Approximations /by Anthony W. Leung and Guangwei Fan Observable Tunneling in Several Dimensions /by R. E. Meyer On Stokes' Phenomenon and Converging Factors /by Frank W. J. Olver Singularly Perturbed Boundary Value Problems Viewed in the Lienard Plane /by J. D. Allen and R. E. O'Malley, Jr. On the Asymptotic Theory of the Orr-Sommerfeld Problem /by W. H. Reid Gevrey Property of Formal Solutions in a Parameter /by Yasutaka Sibuya A Riccati Approach to the Airy Equation /by Donald R. Smith A System of Polynomials Associated with the Chester, Friedman, and Ursell Technique /by K. Soni and R. P. Soni Rational Approximation of the Step, Filter, and Impulse Functions /by Yasuhiko Ikebe, Marek Kowalski, and Frank Stenger Polynomial Asymptotic Estimates of Gegenbauer, Laguerre, and Jacobi Polynomials /by Nico M. Temme Integrals with a Large Parameter and the Maximum -Modulus Principle /by F. Ursell Finite Axial Extension and Torsion of Elasti~ Helicoidal Shells /by Frederic Y. M. Wan Some Properties of Convolution Sequences and Asymptotics for the Taylor Coefficients for Products of Bessel Functions /by Jet Wimp A Generalization of Olver's Algorithm for Linear Difference Systems /by R. V. M. Zahar CONTRIBUTED PAPERS Continental Shelf Wave Scattering: Partial Removal of the Rigid Lid /by Anthony M. J. Davis Some Aspects of Invariant Subspaces Computation /by Luca Dieci and Robert D. Russell Error Bounds via Complete Monotonicity for a Uniform Asymptotic Expansion of the Legendre Function p~m(cosh z) /by C. L. Frenzen Computational Asymptotics of Fourth-Order Operators /by P. A. Carinhas and S. A. Fulling Universal Asymptotic Distribution Functions mod 1 /by William M. Y. Goh and Eric Schmutz On the n-Variable Saddle Point and Steepest Descent Methods /by D. Kaminski Applications of the Method of Steepest Descents in WavePropagation Problems /by Francesco Mainardi and Giuliano Vitali The Asymptotics of Pearcey's Integral for Complex Variables /by R. B. Paris Asymptotic Methods in Magnetoconvection /by N. Rudraiah, O. P. Chandna ,and R. M. Barron The Interior Layer Structure for a Linear Parabolic Problem with Discontinuous Data /by Shagi-Di Shih Asymptotic Expansions of Solutions to ~u - u = f at Infinity /by D. Siegel Approximating Zeros of Solutions of Second-Order Linear ODEs by Phase Function Methods /by R. Spigler and M. Vianello Asymptotic Expansions of Integrals of Two Bessel Functions /by B. J. Stoyanov, R. A. Farrell, and J. F. Bird On Eigenvalues with Exponentially Small Imaginary Part /by A. D. Wood and R. B. Paris Index