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In this paper, we prove that for s∈(0,∞), the harmonic mean of Eₖ(s) and Eₖ(1/s) is always less than or equal to Γ(1-k,1). Where Eₖ(s) is the generalized exponential integral function, Γ(u,s) is the upper incomplete gamma function and k∈ N.
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Kwara Nantomah (2021) studied this question.
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