Results 11 to 20 of about 1,520,966 (266)

ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS

open access: yesПроблемы анализа, 2020
Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros.
A. M. Kytmanov, E. K. Myshkina
doaj   +1 more source

Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight

open access: yesCubo, 2022
In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight.
Goutam Haldar
doaj   +1 more source

INVARIANT SUBSPACES IN UNBOUNDED DOMAINS

open access: yesПроблемы анализа, 2021
We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
doaj   +1 more source

Relative Growth of Series in Systems of Functions and Laplace—Stieltjes-Type Integrals

open access: yesAxioms, 2021
For a regularly converging-in-C series A(z)=∑n=1∞anf(λnz), where f is an entire transcendental function, the asymptotic behavior of the function Mf−1(MA(r)), where Mf(r)=max{|f(z)|:|z|=r}, is investigated.
Myroslav Sheremeta
doaj   +1 more source

Entire Functions with Asymptotic Functions.

open access: yesMATHEMATICA SCANDINAVICA, 1995
Let \(A\) be the class of plane curves \(z = z(t)\) without self-intersections such that \(z(0)= 0\), \(\lim_{t \to \infty} z(t) = \infty\), for any \(T \in (0, \infty)\) the curve \(z = z(t)\), \(t \in [0,T]\) be a union of a finite number of line segments.
Hinkkanen, A., Rossi, John
openaire   +2 more sources

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

Entire Function Sharing Entire Function with its First Derivative

open access: yesKragujevac Journal of Mathematics, 2022
In this paper, we use the idea of normal family to investigate the problem of entire function that share entire function with its first derivative.
Majumder, Sujoy, Sarkar, Jeet
openaire   +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

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

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