Results 81 to 90 of about 5,364,433 (202)

Non-linear difference polynomials sharing a polynomial with finite weight

Ratio 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, Preetham Nataraj Raj   +1 more
doaj   +1 more source

The subspace Nevanlinna interpolation problem and the most powerful unfalsified model [PDF]

, 1997
A generalization of the tangential Nevanlinna interpolation problem will be studied from a behavioral point of view. Necessary and sufficient conditions for its solvability and a characterization of art its solutions are derived.
Willems, JC, Rapisarda, P, Willems, Jan C., Rapisarda, Paolo   +3 more
core   +1 more source

The Fourier-Laplace Transform-A Conjugate Link Between the Material Brain and the Conscious Mind. [PDF]

Front Hum Neurosci, 2021
Brändas EJ.
europepmc   +1 more source

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

Demonstratio 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, Ahamed Molla Basir, Gorai Amiya   +2 more
doaj   +1 more source

Tropical Nevanlinna theory in several variables

Journal 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

Electronic 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  

Solutions of several general quadratic partial differential-difference equations in ℂ2

Demonstratio Mathematica
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
doaj   +1 more source

A Schwarz Lemma for the Pentablock. [PDF]

J Geom Anal, 2023
Alshehri NM, Lykova ZA.
europepmc   +1 more source

On a question of Gundersen-Yang concerning entire solutions of binomial differential equations

Demonstratio Mathematica
The explicit forms of entire solutions of the binomial differential equationsa(z)f′f″−b(z)(f)2=c(z)e2d(z),a(z)ff′−b(z)(f″)2=c(z)e2d(z), $$a\left(z\right){f}^{\prime }{f}^{{\prime\prime}}-b\left(z\right){\left(f\right)}^{2}=c\left(z\right){e}^{2d\left(z ...
Long Jianren, Xia Mengting, Xiang Xuxu
doaj   +1 more source

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
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
doaj   +1 more source