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Published online by Cambridge University Press: 01 February 1997
In order to obtain the linear relations among the 24-solutions for the p-differential equation of Riemann, Barnes [12] discovered an elegant method which uses the following identity for the classical Γ function.
For complex numbers α, β, γ, δ the equality
formula here
holds and the path of integration from −i∞ to +i∞ is curved so that the poles of Γ(γ−s) Γ(δ−s) lie on the right and the poles of Γ(α+s) Γ(β+s) lie on the left.
