Mathematical Sciences: Uniform Asymptotic Expansion of      Integrals
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{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This research will consider several problems associated with               the asymptotic expansions of functions defined by integrals.                    Realistic error bounds will be constructed for uniform asymptotic               expansions of associated Legendre functions of large degree and                 fixed order directly from the integral representations of these                 functions.  The classical method of Chester, Friedman, and Ursell               will be generalized by mapping phase functions into rational                    functions and logarithms.  The derivation of computable error                   bounds will be emphasized.                                                           This work has applications in the area of special functions.               Such functions arise quite naturally in a variety of physical                   contexts in both fluid dynamics and solid mechanics.
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[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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