کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4619605 | 1339441 | 2010 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the meromorphic solutions of linear differential equations on the complex plane
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the meromorphic solutions of linear differential equations on the complex plane On the meromorphic solutions of linear differential equations on the complex plane](/preview/png/4619605.png)
چکیده انگلیسی
In this paper we investigate the iterated order, iterated type and iterated convergence exponent of zeros of meromorphic solutions of the equationsf(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=0,f(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=F(z), where A0≢0A0≢0, A1,…,Ak−1A1,…,Ak−1 and F≢0F≢0 are meromorphic on the complex plane. We improve and extend many results due to Z.-X. Chen, Z.-X. Chen and C.-C. Yang, L. Kinnunen, B. Belaïdi, J. Tu and C.-F. Yi, T.-B. Cao and H.-X. Yi and others. The fixed points of solutions are also considered in this paper. Some errors in earlier papers of the present authors and others are pointed out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 364, Issue 1, 1 April 2010, Pages 130–142
Journal: Journal of Mathematical Analysis and Applications - Volume 364, Issue 1, 1 April 2010, Pages 130–142
نویسندگان
Ting-Bin Cao, Jun-Feng Xu, Zong-Xuan Chen,