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- W4286716707 abstract "A modification of Watson's lemma for Laplace transforms ∫0∞f(t)e−ztdt was introduced in [Nielsen, 1906], deriving a new asymptotic expansion for large |z| with the extra property of being convergent as well. Inspired in that idea, in this paper we derive asymptotic expansions of two-dimensional Laplace transforms F(x,y):=∫0∞∫0∞f(t,s)e−xt−ysdtds for large |x| and |y| that are also convergent. The expansions of F(x,y) are accompanied by error bounds. Asymptotic and convergent expansions of some special functions are given as illustration." @default.
- W4286716707 created "2022-07-23" @default.
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- W4286716707 date "2022-07-22" @default.
- W4286716707 modified "2023-10-14" @default.
- W4286716707 title "A convergent version of Watson's lemma for double integrals" @default.
- W4286716707 cites W1982907413 @default.
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- W4286716707 doi "https://doi.org/10.1080/10652469.2022.2098955" @default.
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