Convolutions Involving the Exponential Function and the Exponential Integral
Mathematica Moravica, Tome 19 (2015) no. 2.

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The exponential integral $\mathrm{ei}(\lambda x)$ and its associated functions $\mathrm{ei}_{+}(\lambda x)$ and $\mathrm{ei}_{-}(\lambda x)$ are defined as locally summable functions on the real line and their derivatives are found as distributions. The convolutions $x^{r}\mathrm{ei}_{+}(x) \ast x^{s}e_{+}^{x}$ and $x^{r}\mathrm{ei}_{+}(x) \ast x^{s}e^{x}$ are evaluated.
Mots-clés : exponential integral, convolution 
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Brian Fisher; Fatma Al-Sirehy. Convolutions Involving the Exponential Function and the Exponential Integral. Mathematica Moravica, Tome 19 (2015) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2015_19_2_a4/