Results 21 to 30 of about 4,654,954 (329)

ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR

Проблемы 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

About the defects of curves holomorphic in the half plane

International 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

Results on the uniqueness of difference polynomials of entire functions

Revista 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
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On transcendental directions of entire solutions of linear differential equations

AIMS Mathematics, 2022
This paper is devoted to studying the transcendental directions of entire solutions of $ f^{(n)}+A_{n-1}f^{(n-1)}+...+A_0f = 0 $, where $ n(\geq 2) $ is an integer and $ A_i(z)(i = 0, 1, ..., n-1) $ are entire functions of finite lower order.
Zheng Wang, Zhi Gang Huang
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On zeros of an entire function coinciding with exponential typequasi-polynomials, associated with a regular third-order differential operator on an interval

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, we consider the question on study of zeros of an entire function of one class, which coincides with quasi-polynomials of exponential type.
N.S. Imanbaev, Ye. Kurmysh
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On properties of the solutions of the Weber equation

Karpatsʹkì Matematičnì Publìkacìï, 2015
Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are ...
Yu.S. Trukhan
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On an Approach to Finding Sums of Multiple Numerical Series

Известия Иркутского государственного университета: Серия "Математика", 2023
An approach to calculating sums of some types of multiple numerical series is presented. This approach is based on using the formula for the resultant of a polynomial (or an entire function with a finite number of zeros) and an entire function obtained ...
V. I. Kuzovatov, E. K. Myshkina, A. S. Bushkova   +2 more
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Baker domains for Newton's method [PDF]

, 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, Drasin, D., Langley, J. K.   +2 more
core   +3 more sources

On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$

Researches in Mathematics, 2019
Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness ...
S.B. Vakarchuk, M.B. Vakarchuk
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On periodicity of entire functions [PDF]

Proceedings of the American Mathematical Society, 1974
A sequence S = { s n } S = \{ {s_n}\} is said to be a periodic set of period τ ( ≠ 0 ) \tau ( \ne 0) if and only if S ∗ = {
openaire   +2 more sources