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The Generalized Integro-Exponential Function

M. S. Milgram
Mathematics of Computation
Vol. 44, No. 170 (Apr., 1985), pp. 443-458
DOI: 10.2307/2007964
Stable URL: http://www.jstor.org/stable/2007964
Page Count: 16
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The Generalized Integro-Exponential Function
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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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