Results 251 to 260 of about 10,766,583 (291)

A Topology on a Hyper BCI-Algebra Generated by a Hyper-Order

European Journal of Pure and Applied Mathematics, 2021
In this paper, we introduce an operator on a hyper BCI-algebra via application of aleft hyper-order. The family consisting of the images of subsets under the operator turns out to be a base for some topology on the hyper BCI-algebra. We investigate some important properties of the induced topology on certain hyper BCI-algebras.
Bijan Davvaz
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On the Distribution of Meromorphic Functions of Positive Hyper-Order

Analysis Mathematica, 2021
Let \(f(z)\) be a transcendental meromorphic function on complex plane \(\mathbb{C}\), \[S(r,f):=\frac1\pi\iint_{\vert z\vert
Yang, P., Wang, S.
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An Extension of Picard's Theorem for Meromorphic Functions of Small Hyper-Order

Journal of Mathematical Analysis and Applications, 2009
15 pages, 1 figure.
Risto Korhonen
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On the hyper-order of meromorphic solutions of linear differential equations

Applied Mathematics-A Journal of Chinese Universities, 1998
This paper contains some order considerations for solutions to the linear differential equation \[ f^{(k)} + A_{k-1}(z) f^{(k-1)} + ... + A_0(z) f = 0 \] with entire coefficients in the complex plane, related to a recent paper by \textit{K.-H. Kwon} [Bull. Korean Math. Soc. 33, No. 3, 487-496 (1996; Zbl 0863.34007)].
Li, Yezhou, Chen, Zongxuan
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On Drasin's questions of meromorphic functions of finite hyper-order

SCIENTIA SINICA Mathematica, 2012
In 1992, Yang and Wang gave sufficient and necessary conditions concerning maximal deficiencysums of meromorphic functions of finite order, and resolved three questions given by Drasin (1976). In this paper,we prove that the corresponding results in Yang and Wang (1992) are still valid for meromorphic functions offinite hyper-order, and so we resolve ...
HongXun YI, XiaoMin LI
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Hyper-order and order of meromorphic functions sharing functions

Annales Polonici Mathematici, 2015
The authors obtain results on the hyper-order and the order of meromorphic functions sharing a function with its derivatives.
Qi, Jianming, Yuan, Wenjun, Yi, Hongxun
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On the Hyper-Order of Solutions of Some Second-Order Linear Differential Equations

Acta Mathematica Sinica, English Series, 2002
Consider the second-order linear differential equation \[ f'' + A(z)f' + B(z)f = 0 \tag{1} \] with entire functions \(A\) and \(B\). It is well known that all solutions are entire functions, and if \(A\) or \(B\) are transcendental, then there exists a solution \(f\) with \(\sigma(f)=\infty\), where \[ \sigma(f) = \varlimsup_{r\to\infty}{\frac{\log{T(r,
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