Results 21 to 30 of about 5,061,991 (285)

About the defects of curves holomorphic in the half plane

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
A study is made on the defects of curves holomorphic in the half plane. Several results are proved.
Moqbul Hossain
doaj   +1 more source

ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR

open access: yesПроблемы анализа, 2018
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
doaj   +1 more source

On the Asymptotics and Distribution of Values of the Jacobi Theta Functions and the Estimate of the Type of the Weierstrass Sigma Functions

open access: yesAxioms, 2021
A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
doaj   +1 more source

Entire domain basis function expansion of the differential surface admittance for efficient broadband characterization of lossy interconnects [PDF]

open access: yes, 2020
This article presents a full-wave method to characterize lossy conductors in an interconnect setting. To this end, a novel and accurate differential surface admittance operator for cuboids based on entire domain basis functions is formulated.
Beyne, Eric   +6 more
core   +1 more source

Composition of entire and analytic functions in the unit ball

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
doaj   +1 more source

Baker domains for Newton's method [PDF]

open access: yes, 2006
We show that there exists an entire function without finite asymptotic values for which the associated Newton function tends to infinity in some invariant domain.
Bergweiler, Walter   +2 more
core   +3 more sources

Results on the uniqueness of difference polynomials of entire functions

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2015
In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen [2], Liu, Liu and Cao [22]
Hua Wang, Hong Yan Xu
doaj   +1 more source

On Entire Function Solutions to Fermat Delay-Differential Equations

open access: yesAxioms, 2022
This paper concerns the existence and precise expression form of entire solutions to a certain type of delay-differential equation. The significance of our results lie in that we generalize and supplement the related results obtained recently.
Xue-Ying Zhang, Ze-Kun Xu, Wei-Ran Lü
doaj   +1 more source

Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]

open access: yes, 2015
We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O.   +2 more
core   +2 more sources

Multiple interpolation with the fast-growing knots in the class of entire functions and its application [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(k-1)(λn) = bn,k, k ∈ 1, s, n ∈ N, where |λk/λk+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which Mg(r) ≤ c1 exp (
I. Sheparovych
doaj   +1 more source

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