کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774451 1413560 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
All admissible meromorphic solutions of certain type of second degree second order algebraic ODEs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
All admissible meromorphic solutions of certain type of second degree second order algebraic ODEs
چکیده انگلیسی
Following the same idea of Halburd and Wang [9] to construct small functions of w and w′ by using the first one or two terms in the local series expansion for w at zeros, we solve all the admissible meromorphic solutions of the second order algebraic differential equation w″w−w′2+aww′+bw2=αw+βw′+γ, where a,b are constants and α,β,γ are small meromorphic functions of w in the sense of Nevanlinna theory. These solutions can have infinite order as Hayman [11] has pointed out but still holds for his conjecture that T(r,w)≤c1ec2rc, 0≤r<+∞ when α,β,γ are rational functions, where c1,c2 and c are some positive constants.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 2, 15 August 2017, Pages 1182-1193
نویسندگان
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