Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation

V. V. Bytev, M.Yu. Kalmykov, Bernd A. Kniehl, B. F. L. Ward, Scott Alan Yost · arXiv (Cornell University) · 2009

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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