complementary%20exponential%20integral
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11: 2.11 Remainder Terms; Stokes Phenomenon
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►From §8.19(i) the generalized exponential integral is given by
…However, on combining (2.11.6) with the connection formula (8.19.18), with , we derive
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►Here is the complementary error function (§7.2(i)), and
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►A simple example is provided by Euler’s transformation (§3.9(ii)) applied to the asymptotic expansion for the exponential integral (§6.12(i)):
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►For example, using double precision is found to agree with (2.11.31) to 13D.
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