We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
The beta function B(α, β) is defined by the following integral
[Aom1]Aomoto, K., On vanishing of cohomology attached to certain many valued mero-morphic functions, J. Math. Soc. Japan, 27 (1975), 248–255.CrossRefGoogle Scholar
[Aom2]
[Aom2]Aomoto, K., On the structure of intergrals of power product of linear functions, Sci. Papers College of General Ed, Univ. of Tokyo, 27 (1977), 49–61.Google Scholar
[Cho1]
[Cho1]Cho, K., Intersection theory for twisted cohomologies and twisted Riemann’s period relations II-On Riemann srufaces, preprint.Google Scholar
[Cho2]
[Cho2]Cho, K., Intersectin theory for twisted cohomologies and twisted Riemann’s period relations III-On P, preprint.Google Scholar
[CY]
[CY]Cho, K. and Yoshida, M., Comparison of (co)homologies of branched covering spaces and twisted ones of basespaces I, Kyushu J. Math., 48 (1994), 111–122.CrossRefGoogle Scholar
[Dell]
[Dell]Deligne, P., Equations différentielles à points singuliers réguliers, Lect. Notes in Math., 163, Springer, 1970.Google Scholar
[Del2]
[Del2]Deligne, P., Théorie de Hodge II, Publ. Math., Inst. Hautes Etud. Sci., 40 (1972), 5–57.Google Scholar
[EV1]
[EV1]Esnault, H. and Viehweg, E., Logarithmic De Rham complexes and vanishing theorems, Invent. Math., 86 (1986), 161–194.Google Scholar
[EV2]
[EV2]Esnault, H. and Viehweg, E., Lectures on Vanishing Theorems, Birkhäuser, 1992.Google Scholar
[ESV]
[ESV]Esnault, H., Schechtman, V. and Viehweg, E., Cohomology of local systems on the complement of hyperplanes, Invent, Math., 109 (1992), 557–561.Google Scholar
[GH]Griffiths, P. and Harirs, J., Principles of Algebraic Geometry, John Wiley & Sons, Inc., 1978.Google Scholar
[IK1]
[IK1]Iwasaki, K. and Kita, M., Exterior power structure of the twisted de Rham cohomology of the complement of real Veromese arrangements, to appear in J. Math. Pures et Appl.Google Scholar
[IK2]
[IK2]Iwasaki, K. and Kita, M., Twisted homology of the configuration space of w-points with application to hypergeometric functions, preprint UTMS 94–11, (1944).Google Scholar
[IKSY]
[IKSY]Iwasaki, K.Kimura, H., Shimomura, S. and Yoshida, M., From Gauss to Painlevé, Vieweg, 1991.CrossRefGoogle Scholar
[Kit]
[Kit]Kita, M., On the hypergeometric functions in several variables II-On the Wronskian of the hypergeometric functions of type (n + 1, m + 1)−, J. Math. Soci. Japan, 45 (1993), 645–669.Google Scholar
[KM]
[KM]Kita, M. and Matsumoto, K., Duality for hypergeometric furctions and inrariant Gauss-Manin systems preprint.Google Scholar
[KN]
[KN]Kita, M. and Noumi, M., On the structure of cohomology groups attached to integrals of certain many valued analytic functions, Japan. J. Math., 9 (1983), 113–157.CrossRefGoogle Scholar
[KY1, 2]
[KY1, 2]Kita, M. and Yoshida, M., Intersection theory for twisted cycles I, II, Math. Nachrichten, 166 (1994), 287–304, 168 (1994), 171–190.Google Scholar
[SY]
[SY]Sasaki, T. and Yoshida, M., Tensor Products of Linear Differential Equations II – New formulae for the hypergeometric functions –, Funkcialaj Ekvacioj, 33 (1990), 527–549.Google Scholar
[Yos]
[Yos]Yoshida, M., Fuchsian Differential Equations, Vieweg, 1987.Google Scholar