Abstract
The Hankel-transforms with regard to the internal mass-parameters of the perturbation-theory functions in momentum-space are studied. Suitable representation formulas are derived and compared to similar formulas for related functions. The singularity structure of the functions considered as analytic functions of the external momentum variables is investigated and representation formulas constructed. The end-point singularities of the representation integrals are identified with the main singularities of simpler Hankel-transformed perturbation functions and general rules are given to construct the corresponding functions from graph-theoretical considerations.
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