Asymptotics and Mellin-Barnes Integrals

By Richard B. Paris, D. Kaminski. 2001

530 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f631a1a445bdc35a818bfeaf0a3b0e628e40a993

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In Polymers and Plastics

Citations in the corpus

From Useful Algorithms for Slowly Convergent Series to Physical Predictions Based on Divergent Perturbative Expansions (2007, background): “In the same context, one can mention the Mellin-Barnes transform [43].”
The Role of the Mittag-Leffler Function in Fractional Modeling (2015, background): “The relation of the Mittag-Leffler-type functions to H-functions is due to so-called Mellin-Barnes integrals (see [33] or [1] (Appendix D)), the contour integrals:”
Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models (2009, methodology): “One usually defines the Gamma function via Euler’s integral [77]”
A Mellin space approach to cosmological correlators (2019, background): “40) are in fact the Mellin-Barnes representations for Hankel functions of the first and second kind [90],”
Fox H functions in fractional diffusion (2005, background): “Recent treatises on Mellin–Barnes integrals are those in [25,30].”
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals (2003, methodology): “This formula is fundamental to investigate the convergence of the Mellin–Barnes integrals, as one can recognize from the detailed analysis by Dixon and Ferrar [3], see also [19].”
A Kummer-type transformation for a 2 F 2 hypergeometric function (2005, background): “When c = d, only the termn = 0 contributes to the sum on the right-hand side of (3) and we recover Kummer’s well-known transformation 1”
Bootstrapping inflationary correlators in Mellin space (2019, background): “4 in [115].”