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Published online by Cambridge University Press: 20 November 2018
Let a, β, μ, ν, z be complex numbers such that 2μ and 2ν are not negative integers. Using the notation of (4) for generalized hypergeometric series, we set
(1) and define an = an(α,β, μ, ν) by
 and define an = an(α,β, μ, ν) by
(2)
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