Simplified error bounds for turning point expansions
Keyword(s):
Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous approximations, in particular being computable to a high degree of accuracy. Here we present explicit error bounds for these expansions which only involve elementary functions, and thereby provide a simplification of the bounds associated with the classical expansions of Olver.
1986 ◽
Vol 17
(2)
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pp. 422-450
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2021 ◽
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pp. 20210360
1949 ◽
Vol 67
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pp. 461-461
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1994 ◽
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pp. 1-13
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1999 ◽
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pp. 89-113
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pp. 325-343
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1959 ◽
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pp. 316-324
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1990 ◽
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pp. 1594-1618
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pp. 257-278
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