Asymptotic ExpansionsDover Publications, 1956 - 108 頁 Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansions. Author's preface. Bibliography. |
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Amer analytic functions approximately assume asym asymptotic behavior asymptotic expansion asymptotic forms asymptotic power series asymptotic representation asymptotic sequence asymptotic series asymptotically equal Bessel functions bounded bounded function c₂ chapter coefficients complex variable computed by formal constant continuously differentiable convergent Copson exists finite number formal solutions full color functions defined fundamental system ƒ³ hence illustrations infinite series interval irregular singularity Laplace's method Liouville's Math method of steepest neighborhood obtain order relations parameters path of integration possesses an asymptotic power series expansion Proc prove ptotic real axis real variable represented asymptotically result Rita Weiss S₂ satisfies sector stationary points steepest descents steepest paths sufficiently large theorem theory transition point twice continuously differentiable uniformly in arg van der Corput Volterra integral equations Y₂ λ² Σα