Name: The Generalized Integro-Exponential Function
Creator: M. S. Milgram
Keywords: exponential integral, Approximation by rational functions, 4. Education, incomplete gamma function, 0101 mathematics, 16. Peace & justice, Gamma, beta and polygamma functions, 01 natural sciences

The generalized integro-exponential function

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985Publisher:JSTORJournal:Mathematics of Computation, volume 44, page 443 (issn: 0025-5718,

Authors: M. S. Milgram;

doi: 10.2307/2007964 , 10.1090/s0025-5718-1985-0777276-4

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.

Keywords

exponential integral, Approximation by rational functions, incomplete gamma function, Gamma, beta and polygamma functions

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