DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
نویسندگان
چکیده
منابع مشابه
Algebraic Relations among Solutions of Linear Differential Equations
Using power series methods, Harris and Sibuya [3, 4] recently showed that if A: is an ordinary differential field of characteristic zero and y 5¿ 0 is an element of a differential extension of fc such that y and l/y satisfy linear differential equations with coefficients in fc, then y'¡y is algebraic over fc. Using differential galois theory, we generalize this and characterize those polynomial...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2015
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748015000080