Results 11 to 20 of about 162,174 (157)
Annales Mathematicae Silesianae, 2023 In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
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Hyper-order and fixed points of meromorphic solutions of higher order linear differential equations
Arab Journal of Mathematical Sciences, 2016 The purpose of this paper is to study the growth and fixed points of meromorphic solutions and their derivatives to complex higher order linear differential equations whose coefficients are meromorphic functions.
Habib Habib, Benharrat Belaïdi
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Order and hyper-order of entire solutions of linear differential equations with entire coefficients
Electronic Journal of Differential Equations, 2003 In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1}( z)f^{( k-1) }+dots+A_{1}( z) f'+A_{0}(z) f=0, $$ where $A_{0}( z) ,dots, A_{k-1}(z)$ are entire functions with $A_{0}(z) otequiv 0$. We will show that
Benharrat Belaidi, Karima Hamani
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Hyper-order baryon number fluctuations at finite temperature and density [PDF]
Physical Review D, 2021 Fluctuations of conserved charges are sensitive to the QCD phase transition and a possible critical endpoint in the phase diagram at finite density. In this work, we compute the baryon number fluctuations up to tenth order at finite temperature and density.
Wei-jie Fu +5 more
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A NOTE ON THE HYPER-ORDER OF ENTIRE FUNCTIONS [PDF]
Bulletin of the Korean Mathematical Society, 2013 The main purpose of this paper is to study properties of the order and the hyper-order of the solutions of some differential equations. The authors estimate the hyper-order of entire functions which share two functions with their first derivative, and two examples are given to show that the conclusion is sharp.
Lü, Feng, Qi, Jianming
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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.
Michelle Panganduyon +2 more
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Order and Hyper-order of Solutions of Second Order Linear Differential Equations [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 In this paper, the authors investigate the growth of solutions of second order linear differentilal equations. They determine new conditions on the coefficients in order that every non-trivial solution has an infinite order by introducing the notions of function extremal to Yang's inequality and extremal to Denjoy's conjecture.
Sanjay Kumar, Manisha Saini
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Representing choice functions by a total hyper-order
CoRR, 2021 Choice functions over a set $X$ that satisfy the Outcast, a.k.a. Aizerman, property are exactly those that attach to any set its maximal subset relative to some total order of ${2}^{X}$.
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A Picard type theorem concerning meromorphic functions of\\ hyper-order [PDF]
SCIENTIA SINICA Mathematica, 2016 Let $f(z)$ be a meromorphic function in the complex plane, whose poles are multiple and whose zeros have multiplicity at least $3$. Set $\alpha(z):=\beta(z)\exp{(\gamma(z))}$, where $\beta(z)$ is a nonconstant elliptic function and $\gamma(z)$ is an entire function. In this paper, we prove that if $\sigma(f(z))>\sigma(\alpha(z))$, then $f(z)=\alpha(z)$
PANG XueCheng, YANG Pai, NIU PeiYan
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The hyper order and fixed points of solutions of a class of linear differential equations
Open Journal of Mathematical Analysis, 2021 In this paper, we precise the hyper order of solutions for a class of higher-order linear differential equations and investigate the exponents of convergence of the fixed points of solutions and their first derivatives for the second-order case. These results generalize those of Nan Li and Lianzhong Yang and of Chen and Shon.
Nour el imane Khadidja CHERIET +1 more
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