Transcendental meromorphic solutions of some algebraic differential equations
نویسندگان
چکیده
منابع مشابه
Meromorphic solutions of algebraic differential equations
where F is a polynomial in the first k+ 1 variables, whose coefficients are analytic functions of the independent variable z. If the conditions of Cauchy's theorem for the existence and uniqueness of the solution are satisfied, then (0.1) determines an analytic function in a neighbourhood of a given point z0. One of the most difficult problems in the analytic theory of differential equations is...
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i. P. Deligne, Usp. Mat. Nauk, 30, No. 5, 159-190 (1975). 2. H. Jacquet andR. P. Langlands, Automorphic Formson GL(2), Springer-Verlag (1970). 3. S. Banach,.Oeuvres, Vol. i, Warsawa (1967), pp. 318-322. 4. G. A. Margulis, Monatsh. Mmth., 9__0, No. 3, 233-235 (1980), 5. D. Sullivan, Bull. Am. Math. Soc., ~, No. i, 121-123 (1981). 6. R. A. Rank_in, Proc. Cambridge Philos. Soc., 35, 351-372 (1939)...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2007
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700036855