Duality for hypergeometric functions and invariant Gauss-Manin systems |
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| Authors: | MICHITAKE KITA KEIJI MATSUMOTO |
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| Institution: | (1) Department of Mathematics, College of Liberal Arts, Kanazawa University, Kakuma Kanazawa, 920-11, Japan;(2) Department of Mathematics, Faculty of Science, Hiroshima University, Kagamiyama Higashi–Hiroshima, 739, Japan |
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| Abstract: | We present some basic identities for hypergeometric functions associatedwith the integrals of Euler type. We give a geometrical proof for formulaesuch as the identity between the single and double integrals expressingAppell's hypergeometric series F1 (a, b, b' c; x, y). |
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| Keywords: | hypergeometric function twisted (co)homology group Gauss-Manin connection period matrix |
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