Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift
Joint Authors
Guan, Haiwa
Wang, Gang
Luo, Qiuqin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate value distribution and uniqueness problems of meromorphic functions with their q-shift.
We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q(z) is a polynomial, then afn(qz)+f(z)−Q(z) has infinitely many zeros, where q∈ℂ∖{0}, a is nonzero constant, and n≥5 (or n≥3).
We also obtain that zero-order meromorphic function share is three distinct values IM with its q-difference polynomial P(f), and if limsup r→∞(N(r,f)/T(r,f))<1, then f≡P(f).
American Psychological Association (APA)
Guan, Haiwa& Wang, Gang& Luo, Qiuqin. 2012. Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-500547
Modern Language Association (MLA)
Guan, Haiwa…[et al.]. Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-500547
American Medical Association (AMA)
Guan, Haiwa& Wang, Gang& Luo, Qiuqin. Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-500547
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500547