Asymptotic and Computational Analysis

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