Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-06
JHEP 0711:009,2007
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex + amsmath, JHEP3 class packages. This revision adds references 1 and 19. The FORM code is available via the WW
Scientific paper
10.1088/1126-6708/2007/11/009
We continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we apply the approach of obtaining iteratated solutions to the differential equations associated with hypergeometric functions to prove the following result (Theorem 1): The epsilon-expansion of a generalized hypergeometric function with integer values of parameters is expressible in terms of generalized polylogarithms with coefficients that are ratios of polynomials. The method used in this proof provides an efficient algorithm for calculatiing of the higher-order coefficients of Laurent expansion.
Kalmykov Mikhail Yu.
Ward B. F. L.
Yost Sarah Anne
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