Results 91 to 100 of about 6,490,162 (222)
Theorie de nevanlinna p-adique
We study meromorphic functions in all ℂp or in a disc of ℂp. Using some properties of the valuation polygon notion, we show p-adic results perfectly analogous to those of Nevanlinna in the complex case.
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Value distribution of the q-difference product of entire functions
For a complex value $q\neq 0, 1$, and a transcendental entire function f(z) with order ...
Na Xu, Ting-Bin Cao, Chun-Ping Zhong
doaj
A problem on spaces of holomorphic maps and the geometry of image domains
We present an old problem in Geometric Function Theory: characterizing the domains Ω⊂C ${\Omega}\subset \mathbb{C}$ for which every holomorphic map from the unit disk into Ω must belong to a specific function space X.
Cruz-Zamorano Francisco J.
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Solutions of several general quadratic partial differential-difference equations in ℂ2
In this article, we have introduced general transformation to solving the general quadratic equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations.
Ahamed Molla Basir, Mandal Sanju
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Nevanlinna theory, diophantine approximation, and numerical analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
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Holomorphic curves into projective spaces with some special hypersurfaces
In this article, we establish some truncated second main theorems for holomorphic curves into projective spaces with some special hypersurfaces and give some applications.
Cao Hongzhe, Wang Yuting, Xu Qingyong
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Entire solutions for a nonlinear differential equation
In this article, we study the existence of solutions to the differential equation $$ f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2}, $$ where $ngeq 2$ is an positive integer, f is a transcendental entire function, $P(f)$ is a differential polynomial in f of ...
Jianming Qi, Jie Ding, Taiying Zhu
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Entire solutions for nonlinear differential-difference equations
In this article, we study entire solutions of the nonlinear differential-difference equation $$ q(z)f^{n}(z)+a(z)f^{(k)}(z+1)=p_1(z)e^{q_1(z)}+p_2(z)e^{q_2(z)} $$ where $p_1(z)$, $p_2(z)$ are nonzero polynomials, $q_1(z)$, $q_2(z)$ are ...
Na Xu, Ting-Bin Cao, Kai Liu
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Delocalization Transition for Critical Erdős-Rényi Graphs. [PDF]
Alt J, Ducatez R, Knowles A.
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