Asymptotic and Computational Analysis :Conference in Honor of Frank W. J. Olver's 65th Birthday

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Contents Preface Contributors Invited Papers Graphs as an Aid to Understanding Special Functions Asymptotics of Integals, Series, and Operators Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-Order Differential Equations: The Simple Pole Case Landen Transformations of Integrals Accelerating the Convergence of Chebyshev Series Practical Methods for the Uniform Asymptotic Evaluation of Oscillating Integrals with Several Coalescing Saddle Points New Inequalities for the Zeros of Confluent Hypergeometric Functions How (Un)stable Are Vandermonde Systems? Singular Point and Exponential Asymptotics Uniform Asymptotic Remainders Period Tripling and Subharmonic Oscillations in Marangoni Flows in a Cylindrical Liquid Bridge Positive Solutions for Degenerate and Nondegenerate Elliptic Systems: Existence and Numerical Approximations Observable Tunneling in Several Dimensions On Stokes' Phenomenon and Converging Factors Singularly Perturbed Boundary Value Problems Viewed in the Liénard Plane On the Asymptotic Theory of the Orr-Sommerfeld Problem Gevrey Property of Formal Solutions in a Parameter A Riccati Approach to the Airy Equation A System of Polynomials Associated with the Chester, Friedman, and Ursell Technique Rational Approximation of the Step, Filter, and Impulse Functions Polynomial Asymptotic Estimates of Gegenbauer, Laguerre, and Jacobi Polynomials Integrals with a Large Parameter and the Maximum - Modulus Principle Finite Axial Extension and Torsion of Elastic Helicoidal Shells Some Properties of Convolution Sequences and Asymptotics for the Taylor Coefficients for Products of Bessel Functions A Generalization of Olver's Algorithm for Linear Difference Systems Contributed Papers Continental Shelf Wave Scattering: Partial Removal of the Rigid Lid Some Aspects of Invariant Subspaces Computation Error Bounds via Complete Monotonicity for a Uniform Asymptotic Expansion of the Legendre Function P[sup(-m)][sub(n)](cosh z) Computational Asymptotics of Fourth-Order Operators Universal Asymptotic Distribution Functions mod 1 On the n-Variable Saddle Point and Steepest Descent Methods Applications of the Method of Steepest Descents in Wave-Propagation Problems The Asymptotics of Pearcey's Integral for Complex Variables Asymptotic Methods in Magnetoconvection The Interior Layer Structure for a Linear Parabolic Problem with Discontinuous Data Asymptotic Expansions of Solutions to Δu – u = f at Infinity Approximating Zeros of Solutions of Second-Order Linear ODEs by "Phase Function" Methods Asymptotic Expansions of Integrals of Two Bessel Functions On Eigenvalues with Exponentially Small Imaginary Part Index A B C D E F G H I J K L M N O P Q R S T U V W