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Integrals involving hypergeometric functions and E-functions
Published online by Cambridge University Press: 18 May 2009
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In § 2 a number of integrals in which the integrand contains a product of a hypergeometric function and an E-function will be evaluated. The following formulae will be employed in the proofs.
If ρ +σ = α + β + γ + 1, and if α, β or γ is zero or a negative integer,
this is Sallschütz's theorem [1].
If R(γ - ½α - ½β)< - ½,
This theorem was given by Wastson [2] for negative integral values of α and later by Whipple [3] for general values α.
R(γ) > 0,
This formula was given by Whipple [3]
l is a positive integer,
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- Copyright © Glasgow Mathematical Journal Trust 1958
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