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An infinite integral formula
Published online by Cambridge University Press: 20 January 2009
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§ 1. The object of this note is to discuss the formula
the integral being supposed convergent for certain ranges of values of x and z. The contour is such that the poles of Γ(– s)lie to its right and the other poles of the integrand to its left. It will be seen that all the Pincherle-Mellin-Barnes integrals are particular cases of this formula.
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- Copyright © Edinburgh Mathematical Society 1939
References
page 75 note 1 Proc. Boy. Soc., Edin , 48 (1927–1928), 92.Google Scholar
page 76 note 1 Proc. Edin. Math. Soc. (2), 3 (1931), 189.Google Scholar
page 76 note 2 CfWhittaker, and Watson, , Modem Analysis (Cambridge, 1927), §14·5.Google Scholar