Growth of Solutions of Linear Differential Equations at a Logarithmic Singularity
نویسندگان
چکیده
منابع مشابه
Logarithmic Derivatives of Solutions to Linear Differential Equations
Given an ordinary differential field K of characteristic zero, it is known that if y and 1/y satisfy linear differential equations with coefficients in K, then y/y is algebraic over K. We present a new short proof of this fact using Gröbner basis techniques and give a direct method for finding a polynomial over K that y/y satisfies. Moreover, we provide explicit degree bounds and extend the res...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.2307/1998763