کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623552 1631575 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entire functions that share a polynomial with their derivatives
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Entire functions that share a polynomial with their derivatives
چکیده انگلیسی

Let f be a nonconstant entire function, k and q be positive integers satisfying k>q, and let Q be a polynomial of degree q. This paper studies the uniqueness problem on entire functions that share a polynomial with their derivatives and proves that if the polynomial Q is shared by f and f′ CM, and if f(k)(z)−Q(z)=0 whenever f(z)−Q(z)=0, then f≡f′. We give two examples to show that the hypothesis k>q is necessary.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 2, 15 August 2006, Pages 703-717