Modified inverse Laplace and Mellin transforms are proposed to work with dual contour integral representations from quantum chromodynamics for quantum communication applications.
Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fix ed gauge coupling
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In the single-term splitting function model, complex maps turn DGLAP contour integrals into Laplace transforms whose inverse yields Barnes integrals for the Bessel solution.
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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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Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals
In the single-term splitting function model, complex maps turn DGLAP contour integrals into Laplace transforms whose inverse yields Barnes integrals for the Bessel solution.