Pfaffian of Appell's hypergeometric system \(\mathcal{F}_4\) in terms of the intersection form of twisted cohomology groups

DOI10.4171/PRIMS/179zbMath1347.33032arXiv1502.00795OpenAlexW2963990066MaRDI QIDQ290745

Yoshiaki Goto, Jyoichi Kaneko, Keiji Matsumoto

Publication date: 3 June 2016

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00795

zbMATH Keywords

Appell's hypergeometric system of differential equationsPfaffian systemtwisted cohomology group

Mathematics Subject Classification ID

Pfaffian systems (58A17) Appell, Horn and Lauricella functions (33C65)

Related Items (4)

Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals ⋮ \texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms ⋮ Picard–Vessiot groups of Lauricella's hypergeometric systems EC and Calabi–Yau varieties arising integral representations ⋮ The monodromy representation and twisted period relations for Appell’s hypergeometric function F₄

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