Results 31 to 40 of about 998,953 (172)

Generalized Order and Best Approximation of Entire Function in 𝐿𝑝-Norm

International Journal of Mathematics and Mathematical Sciences, 2010
The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact 𝐾 with respect to the set Ω𝑟={𝑧∈𝐂𝑛;exp𝑉𝐾(𝑧)≤𝑟}, where 𝑉𝐾=
Mohammed Harfaoui
doaj   +1 more source

Public space and the contemporary city. A narrative of places, time, relationships

Techne, 2020
The reconfiguration of the post-modern city promotes the public space as a place of excellence for material, social and sensorial exchange, restoring the primitive and noble taste of a sphere aimed at collective practice, an ideological model of ...
Emilio Faroldi
doaj   +1 more source

Compositionally universal entire functions on the plane and the punctured plane [PDF]

, 2012
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition operators that is universal on the punctured plane are provided.
Bernal González, Luis
core   +1 more source

Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction

Axioms, 2019
In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
doaj   +1 more source

Composition of entire function and analytic functions in the unit ball with a vanished gradient

Математичні Студії
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

A note on the geometric means of entire functions of several complex variables [PDF]

Transactions of the American Mathematical Society, 1972
Let f ( z 1 , ⋯ , z n ) f({z_1}, \cdots ,{z_n}) be an entire function of n ( ⩾ 2 ) n( \geqslant 2) complex variables.
openaire   +1 more source

On the order of system of entire functions of several complex variables [PDF]

, 2015
In this paper we study the growth of entire functions represented by Taylor series of several complex variables. The characterization of their order and type has been obtained.
Hussein, Mushtaq Shakir A., Sadaa, Aseel Hameed Abed   +1 more
core   +1 more source

Full-field Fourier ptychography (FFP): spatially varying pupil modeling and its application for rapid field-dependent aberration metrology

, 2019
Digital aberration measurement and removal play a prominent role in computational imaging platforms aimed at achieving simple and compact optical arrangements.
Huang, Xizhi, Jiang, Shaowei, Song, Pengming, Zhang, He, Zhang, Yongbing, Zheng, Guoan   +5 more
core   +1 more source

Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

Demonstratio Mathematica
This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
doaj   +1 more source

On solutions of certain compatible systems of quadratic trinomial Partial differential-difference equations

Математичні Студії
This paper has involved the use of a variety of variations of the Fermat-type equation $f^n(z)+g^n(z)=1$, where $n(\geq 2)\in\mathbb{N}$. Many researchers have demonstrated a keen interest to investigate the Fermat-type equations for entire and ...
R. Mandal, R. Biswas
doaj   +1 more source