Cohomological interpretation of some classic formulas satisfied by hypergeometric functions

MR1232077 Pastro, Pier Ivan Pier Ivan PASTRO Cohomological interpretation of some classic formulas satisfied by hypergeometric functions Funkcialaj Ekvacioj. Serio Internacia 36 1993 11--43 http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-1-2.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-011-043/fe36-011-043.pdf http://www.ams.org/mathscinet-getitem?mr=MR1232077 fe36-011-043 1993 Cohomological Interpretation of Some Classic Formulas Satisfied by Hypergeometric Functions Ivan PASTRO, Pier Ivan PASTRO, Pier

1 Dwork, B. On Kummer twentyfour solutions of the hypergeometric differential equation Trans. Amer. Math. Soc. 285 2 1984 497-521 MR0752488 77 Cache/Dw/Dwork,hypergeometric,Trans*,1984,1985

2 Erdelyi, A.; Magnus, W.; Tricomi, F. Higher Transcendental Functions, vol. 1 McGraw Hill, New York 1953 MR0058756 xxvi+302, xvii+396

3 Goursat, E. Sur l'equation differentielle lineare qui admet pour integrale la serie hypergeometrique Ann. Sci. Ecole Norm. Sup. (2) 10 1881 3-142 MR1508709 90 Cache/Go/Goursat,hypergeometrique,Ann*,1881,1882

4 Holzapfel, R. P. Geometry and Arithmetics around Euler Partiaf Differential Equations D. Reider Publishing Company, Dordrecht/Boston/Lancaster 1986 MR0867406 87 Cache/Ho/Holzapfel,Arithmetics,*,1986,1987 184

5 Katz, N.; Oda, T. On the differentiation of the de Rham cohomology with respect to parameters J. Math. Kyoto Univ. 8 2 1968 199-213 MR0237510 91 Cache/Ka/Katz,differentiation,J*,1968,1969

6 Manin, J. Rational points of algebraic curves over functions fields Izv. Akad. Nauv. SSSR Ser. mat. 27 1963 1395-1440, English translation Amer. Math. Soc. Translations (2) vol. 50 (1966), 189-234 MR0157971 Cache/Ma/Manin,algebraic,Amer*,1966,1967

7 Messing, W. On the nilpotence of the hypergeometric equation J. Math. Kyoto Univ. 12 2 1972 369-383 MR0301011 100 Cache/Me/Messing,hypergeometric,J*,1972,1973

8 Mumford, D. Abelian Varieties Oxford University Press, Bombay 1970 MR0282985 Cache/Mu/Munford,Varieties,*,1970,1971 9 Pham, F., Introduction a 1'etude des integrales singulieres et des hyperfonctions, Singularities Seminar Hanoi (1974)