Finding new relationships between hypergeometric functions by evaluating Feynman integrals

Boos, 1991, Theor. Math. Phys., 89, 1052, 10.1007/BF01016805 Davydychev, 1991, J. Math. Phys., 32, 1052, 10.1063/1.529383 Davydychev, 1992, J. Math. Phys., 33, 358, 10.1063/1.529914 Kazakov, 1985, Theor. Math. Phys., 62, 84, 10.1007/BF01034829 Tarasov, 1996, Phys. Rev. D, 54, 6479, 10.1103/PhysRevD.54.6479 Tarasov, 2000, Nucl. Phys. B (Proc. Suppl.), 89, 237, 10.1016/S0920-5632(00)00849-5 Tarasov, 2006, Phys. Lett. B, 638, 195, 10.1016/j.physletb.2006.05.033 Fleischer, 2003, Nucl. Phys. B, 672, 303, 10.1016/j.nuclphysb.2003.09.004 Regge, 1968, 433 Bollini, 1972, Phys. Lett. B, 40, 566, 10.1016/0370-2693(72)90483-2 Kalinowski, 1982, J. Phys. A, 15, 1909, 10.1088/0305-4470/15/6/031 Inayat-Hussain, 1987, J. Phys. A, 20, 4109, 10.1088/0305-4470/20/13/019 Inayat-Hussain, 1987, J. Phys. A, 20, 4119, 10.1088/0305-4470/20/13/020 Broadhurst, 1990, Z. Phys. C, 47, 115, 10.1007/BF01551921 Davydychev, 1992, J. Phys. A, 25, 5587, 10.1088/0305-4470/25/21/017 Davydychev, 1993, Nucl. Phys. B, 397, 123, 10.1016/0550-3213(93)90338-P Broadhurst, 1993, Z. Phys. C, 60, 287, 10.1007/BF01474625 Davydychev, 1993, 260 Berends, 1994, Z. Phys. C, 63, 227, 10.1007/BF01411014 Bauberger, 1995, Nucl. Phys. B, 434, 383, 10.1016/0550-3213(94)00475-T Fleischer, 1999, Nucl. Phys. B, 539, 671, 10.1016/S0550-3213(98)00705-6 Fleischer, 2000, Nucl. Phys. B, 571, 511, 10.1016/S0550-3213(99)00794-4 Cabral-Rosetti, 2000, J. Comput. Appl. Math., 115, 93, 10.1016/S0377-0427(99)00121-1 Anastasiou, 2000, Nucl. Phys. B, 572, 307, 10.1016/S0550-3213(99)00637-9 Anastasiou, 2000, Nucl. Phys. B, 565, 445, 10.1016/S0550-3213(99)00636-7 Davydychev, 2000, Phys. Rev. D, 61, 087701, 10.1103/PhysRevD.61.087701 Davydychev, 2001, Nucl. Phys. B, 605, 266, 10.1016/S0550-3213(01)00095-5 Davydychev, 2004, Nucl. Phys. B, 699, 3, 10.1016/j.nuclphysb.2004.08.020 Davydychev, 2006, Nucl. Instrum. Meth. A, 559, 293, 10.1016/j.nima.2005.11.174 Halliday, 1987, Phys. Lett. B, 193, 241, 10.1016/0370-2693(87)91229-9 Srivastava, 1985, Multiple Gaussian Hypergeometric Series Shpot, 2007, J. Math. Phys., 48, 123512, 10.1063/1.2821256 Appell, 1926 Kaneko 1953 Prudnikov, 1990 Bailey, 1964 Ismail, 2000, Canad. J. Math., 52, 961, 10.4153/CJM-2000-040-3 S. Bauberger, Massive scalar two-loop self-energy integrals, Diploma thesis, Würzburg, 1994. Ramanujan, 1957