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Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives
Joint Authors
Qi, Jian-ming
Lü, Feng
Chen, Ang
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We use the theory of normal families to prove the following.
Let Q1(z)=a1zp+a1,p−1zp−1+⋯+a1,0 and Q2(z)=a2zp+a2,p−1zp−1+⋯+a2,0 be two polynomials such that degQ1=degQ2=p (where p is a nonnegative integer) and a1,a2(a2≠0) are two distinct complex numbers.
Let f(z) be a transcendental entire function.
If f(z) and f′(z) share the polynomial Q1(z) CM and if f(z)=Q2(z) whenever f′(z)=Q2(z), then f≡f′.
This result improves a result due to Li and Yi.
American Psychological Association (APA)
Qi, Jian-ming& Lü, Feng& Chen, Ang. 2009. Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-502990
Modern Language Association (MLA)
Qi, Jian-ming…[et al.]. Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives. Abstract and Applied Analysis No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-502990
American Medical Association (AMA)
Qi, Jian-ming& Lü, Feng& Chen, Ang. Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-502990
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502990