Feynman integrals, hypergeometric functions and nested sums

Bejdakic E (2009)
Bielefeld (Germany): Bielefeld University.

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Bielefeld Dissertation | English
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Schröder, York
Abstract
In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.
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Bejdakic E. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University; 2009.
Bejdakic, E. (2009). Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University.
Bejdakic, E. (2009). Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University.
Bejdakic, E., 2009. Feynman integrals, hypergeometric functions and nested sums, Bielefeld (Germany): Bielefeld University.
E. Bejdakic, Feynman integrals, hypergeometric functions and nested sums, Bielefeld (Germany): Bielefeld University, 2009.
Bejdakic, E.: Feynman integrals, hypergeometric functions and nested sums. Bielefeld University, Bielefeld (Germany) (2009).
Bejdakic, Ervin. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University, 2009.
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