کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9502725 | 1339538 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Normal families and value distribution in connection with composite functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We prove a value distribution result which has several interesting corollaries. Let kâN, let αâC and let f be a transcendental entire function with order less than 1/2. Then for every nonconstant entire function g, we have that (fâg)(k)âα has infinitely many zeros. This result also holds when k=1, for every transcendental entire function g. We also prove the following result for normal families. Let kâN, let f be a transcendental entire function with Ï(f)<1/k, and let a0,â¦,akâ1,a be analytic functions in a domain Ω. Then the family of analytic functions g such that (fâg)(k)(z)+âj=0kâ1aj(z)(fâg)(j)(z)â a(z), in Ω, is a normal family.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 1, 1 December 2005, Pages 195-204
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 1, 1 December 2005, Pages 195-204
نویسندگان
E.F. Clifford,