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• W2135685269 abstract "We show how various known results concerning the Barnes multiple zeta and gamma functions can be obtained as specializations of simple features shared by a quite extensive class of functions. The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. We also demonstrate how Barnes' multiple zeta and gamma functions fit into a recently developed theory of minimal solutions to first order analytic difference equations. Both of these new approaches to the Barnes functions give rise to novel integral representations." @default.
• W2135685269 created "2016-06-24" @default.
• W2135685269 creator A5048267183 @default.
• W2135685269 date "2000-12-01" @default.
• W2135685269 modified "2023-09-23" @default.
• W2135685269 title "On Barnes' Multiple Zeta and Gamma Functions" @default.
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• W2135685269 doi "https://doi.org/10.1006/aima.2000.1946" @default.
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