On a class of complex functional equations.
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Displaying 1 – 20 of 103
On a functional equation. (Short Communication).
K. Niino (1981)
Aequationes mathematicae
On a kth-order differential equation
Xiao-Min Li, Cun-Chen Gao (2006)
Annales Polonici Mathematici
We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
On a meromorphic function having few poles but not tending to infinity along a path
W. K. Hayman (1981)
Annales Polonici Mathematici
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.
Chiang, Yik-Man, Gao, Shi-An (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
On a question of Hong Xun Yi
Indrajit Lahiri (2002)
Archivum Mathematicum
In the paper we prove a uniqueness theorem for meromorphic functions which provides an answer to a question of H. X. Yi.
On a result of Ozawa and uniqueness of meromorphic function.
Meng, Chao (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On a result of Tohge concerning the unicity of meromorphic functions.
Chen, Junfan, Lin, Weichuan (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On a result of Zhang and Xu concerning their open problem
Sujoy Majumder, Rajib Mandal (2018)
Archivum Mathematicum
The motivation of this paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial with the help of the idea of normal family. The result of the paper improves and generalizes the recent result due to Zhang and Xu [24]. Our another remarkable aim is to solve an open problem as posed in the last section of [24].
On a Theorem of Gundersen and Laine.
Hin-Ming Li (1992)
Mathematica Scandinavica
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
Steven Bank (1972)
Journal für die reine und angewandte Mathematik
On a-points of Entire and Meromorphic Functions
John T. Sieben, K. S. Singh (1974)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On Bloch functions and gap series.
Daniel Girela (1991)
Publicacions Matemàtiques
Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general results...
On composition of meromorphic functions in several complex variables.
B.Q. Li, Der-Chan Chang, C.-C. Yang (1995)
Forum mathematicum
On deficiencies of small functions for Painlevé transcendents of the fourth kind.
Shimomura, Shun (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
On Deficient Values of Meromorphic Functions Satisfying a Certain Functional Equation II
R. GOLDSTEIN (1973)
Aequationes mathematicae
On deviations from rational functions of entire functions of finite lower order
E. Ciechanowicz, I. I. Marchenko (2007)
Annales Polonici Mathematici
Let f be a transcendental entire function of finite lower order, and let be rational functions. For 0 < γ < ∞ let B(γ):= πγ/sinπγ if γ ≤ 0.5, B(γ):= πγ if γ > 0.5. We estimate the upper and lower logarithmic density of the set .
On differential euqations and functional equations.
Steven B. Bank, Robert P. Kaufman (1979)
Journal für die reine und angewandte Mathematik
On differential independence of the Riemann zeta function and the Euler gamma function
Bao Qin Li, Zhuan Ye (2008)
Acta Arithmetica
On Differential Polynomials and Results of Hayman and Doeringer.
J.K. Langley (1984)
Mathematische Zeitschrift
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