Global theory of ordinary differential equations and formula manipulation

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Global theory of ordinary differential equations and formula manipulation

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the international symposium on Symbolic and algebraic computation table of contents

Tokyo, Japan

Pages: 193 - 200

Year of Publication: 1990

ISBN:0-201-54892-5

Author

K. Okubo

University of Electro-Communications

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 1, Downloads (12 Months): 14, Citation Count: 0

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Beukers, F., Heckman, G.: Monodromy for the hypergeometric function n~n-x. Invent. Math., 95 (1989), 325-354.
	2	Erd~lyi, A.: Higher transcendental functions, Vol 1. New York, McGraw-Hill 1953.
	3	Kohno, M. and Suzuki, M.,: Reduction of single Fuchsian differential equations to hypergeometric systems, K~m~moto J. s~i. (M~ta) , 17 (~987), 27-74.
	4	Levelt, A.H.M.: Hypergeometric functions. Amsterdam 1961.
	5	Okubo, K. : On the group of Fuchsian equations. Mathematical Seminar Report, Tokyo Metropolitan University, 1987.
	6	Okubo, K., Takano, K. and Yoshida, S.: A connection problem for the generalized hypergeometric equation, Funkcial. ~kvac., 31 (1988), 483-495.
	7	Riemann, B.: Collected Works of B. Riemann, New York: Dover, 1953.
	8	Sasai, T.: On ~ monodromy group and irreducibility conditions of a fourth order differenti&l systems of Okubo-type, J. Reine Angw. Math., 299/300 (1978), 38-50.
	9	: Generalized hypergeometric equations with finite monodromy groups (in Japanese), RIMS Kokyuroku, Kyoto University, 681 (1989), 123-139.
	10	Schwarz, H.A.' Ueber diejenigen FKlle, in welchen die Gaussische hypergeometrische Reihe eine algebraische Funktion ihres vierten Elementes darstellt. J. Reine Angew. Math., 75 (1873), 292-335.
	11	Shephard, G.C. and Todd, J.A.: Finite unitary reflection groups. Can. J. Math., 6 (1954), 274-304.
	12	Springer, T.A.: Regulax elements of finite reflection groups. Invent. Math., 25 (1974), 159-198.
	13	Takano, K. and Bannai, E. : A global study of Jordan-Pochhammer differential equations. FunkciaL Ekvac., 19 (1976), 85-99.
	14	Yokoyama, T.: A system of total differential equations of two variables and its monodromy group. Preprini.
	15	Yoshida, M.: Fuchsian differential equations. Braunschweig:Vieveg 1987.