Results 121 to 130 of about 162,174 (157)

Synthesis and Characterization of New Functional Materials Based on Hyper-Ordered Structures

Nihon Kessho Gakkaishi
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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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On the hyper-order of meromorphic solutions of linear differential equations

Applied Mathematics, 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
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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 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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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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A TOPOLOGY ON A HYPER BCK-ALGEBRA VIA LEFT APPLICATION OF A HYPER ORDER

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: Given a hyper BCK-algebra \((H,\ast,0)\) and \(A\subseteq H\), we define \(L_H(A)=\{x\in H:x\ll a,\forall a\in A\}=\{x\in H:0\in x\ast a, \forall a\in A\}\). In this paper, we show that the family \(\mathcal{B}_L(H)\) consisting of the sets \(L_H(A)\), where \(A\) ranges over all nonempty subsets of \(H\), forms a base for some topology on \(H\
Patangan, Rachel M., Canoy, Sergio R. jun.   +1 more
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Generalized transitivity and preferences modelling: The concept of Hyper-Order

European Journal of Operational Research, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On hyper-order of meromorphic solutions of first-order algebraic differential equations

Acta Mathematica Scientia, 2001
Let \(\sum_{k,j\geq 0}\varphi_{k,j} (z)w^k(w')^j=0\) be an algebraic differential equation of first order, where the coefficients \(\varphi_{k,j}\) are entire functions of finite order. The authors prove that if \(h\) is a meromorphic solution of this algebraic differential equation then either \(\nu(h) \leq\max_{k,j} \sigma (\varphi_{k,j})\) or ...
Li Yezhou
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