Results 61 to 70 of about 292 (180)

On solutions of several Fermat-type partial differential-difference equations in C2

open access: yesDemonstratio Mathematica
In this paper, we study entire solutions of several Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$ by applying Nevanlinna theory of meromorphic functions in several complex variables.
Tang Caoqiang, Huang Zhigang
doaj   +1 more source

Value distribution theory of Nevanlinna

open access: yesJournal of Physics: Conference Series, 2020
Abstract In the field of research, a century old value distribution theory of Nevanlinna is still alive. It contains a broad range of implementations inside and outside a function theory. It is the study to speculate different values by complex function.
openaire   +1 more source

Non-linear difference polynomials sharing a polynomial with finite weight

open access: yesRatio Mathematica
The uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore   +1 more
doaj   +1 more source

Tropical Nevanlinna theory in several variables

open access: yesJournal of the London Mathematical Society
Abstract The main goal of this paper is to establish the higher dimensional Nevanlinna theory in tropical geometry. We first develop a theory of tropical meromorphic functions (tropical holomorphic maps) in several real variables, such as the proximity function, counting function and characteristic function, the ...
Tingbin Cao, Jiahu Peng
openaire   +2 more sources

Value distribution of the q-difference product of entire functions

open access: yesElectronic Journal of Differential Equations, 2014
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  

Entire solutions of some Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$

open access: yesDemonstratio Mathematica
In this paper, we consider Fermat-type functional equations of the formF2(z)+G2(z)=exp(c1z1+c2z2+c0), $${F}^{2}\left(z\right)+{G}^{2}\left(z\right)=\mathrm{exp}\left({c}_{1}{z}_{1}+{c}_{2}{z}_{2}+{c}_{0}\right),$$
Chakraborty Gorachand   +2 more
doaj   +1 more source

A Schwarz Lemma for the Pentablock. [PDF]

open access: yesJ Geom Anal, 2023
Alshehri NM, Lykova ZA.
europepmc   +1 more source

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