A method for the asymptotic estimation of integrals

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15 صفحه اول

Asymptotic expansions of integrals: the term by term integration method

The classical term by term integration technique used for obtaining asymptotic expansions of integrals requires the integrand to have an uniform asymptotic expansion in the integration variable. A modification of this method is presented in which the uniformity requirement is substituted by a much weaker condition. As we show in some examples, the relaxation of the uniformity condition provides...

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Asymptotic expansions of integrals: The term-by-term integration method

The classical term-by-term integration technique used for obtaining asymptotic expansions of integrals requires the integrand to have an uniform asymptotic expansion in the integration variable. A modi cation of this method is presented in which the uniformity requirement is substituted by a much weaker condition. As we show in some examples, the relaxation of the uniformity condition provides ...

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ژورنال

عنوان ژورنال: USSR Computational Mathematics and Mathematical Physics

سال: 1972

ISSN: 0041-5553

DOI: 10.1016/0041-5553(72)90124-3