Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation

2009/02/09 by Bytev, V. V., Kalmykov, M., Kniehl, B. A. +2
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0902.1352

Abstract

We describe the application of differential reduction algorithms for Feynman Diagram calculation. We illustrate the procedure in the context of generalized hypergeometric functions, and give an example for a type of q-loop bubble diagram.

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