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On The Convolutions Of The Exponential Function And The Exponential Integral

Fatma Al-Sirehy

The exponential integral ei(λx) and its associated functions ei+(λx) and ei−(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions. In this paper the results in [1] are generalized to x r ei+(λx) ∗ x s e λx + and x r ei+(λx) ∗ x s e λx. Also further results are obtained.