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Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
classification
✦ hep-ph
math-phmath.MP
keywords
algorithmalphacomplexcouplingdglapequationfindrunning
read the original abstract
We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling $\alpha$ with splitting functions given at a fixed order in $\alpha.$ Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present.
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Cited by 1 Pith paper
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Inverse Laplace and Mellin integral transforms modified for use in quantum communications
Modified inverse Laplace and Mellin transforms are proposed to work with dual contour integral representations from quantum chromodynamics for quantum communication applications.
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