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The generalized integro-exponential function

Author: M. S. Milgram
Journal: Math. Comp. 44 (1985), 443-458
MSC: Primary 33A70; Secondary 65D15
MathSciNet review: 777276
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Abstract: The generalized integro-exponential function is defined in terms of the exponential integral (incomplete gamma function) and its derivatives with respect to order. A compendium of analytic results is given in one section. Rational minimax approximations sufficient to permit the computation of the first six first-order functions are reported in another section.

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