
Abstract The exponential integral function (EIF) and the generalized exponential integral function (GEIF) are defined as E ( x , y ) = ∫ 1 ∞ e − xu u − y du and G ( x , y , z ) = 1 Γ ( z + 1 ) ∫ 1 ∞ e − xu u − y ( ln u ) z du , respectively. In this paper, uniform convergences of the EIF and the GEIF are investigated. We also study the continuity differentiability and asymptotic behaviour of these functions.
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