Results 81 to 90 of about 8,973,715 (361)

On the ω-multiple Charlier polynomials

open access: yesAdvances in Difference Equations, 2021
The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ .
Mehmet Ali Özarslan, Gizem Baran
doaj   +1 more source

Uniqueness of entire functions concerning difference polynomials

open access: yes, 2014
In this paper, we investigate the uniqueness problem of difference polynomials sharing a small function. With the notions of weakly weighted sharing and relaxed weighted sharing we prove the following: Let $f(z)$ and $g(z)$ be two transcendental entire ...
Chao Meng
semanticscholar   +1 more source

Difference Sets and Polynomials

open access: yes, 2015
We provide upper bounds on the largest subsets of $\{1,2,\dots,N\}$ with no differences of the form $h_1(n_1)+\cdots+h_{\ell}(n_{\ell})$ with $n_i\in \mathbb{N}$ or $h_1(p_1)+\cdots+h_{\ell}(p_{\ell})$ with $p_i$ prime, where $h_i\in \mathbb{Z}[x]$ lie in in the classes of so-called intersective and $\mathcal{P}$-intersective polynomials, respectively.
Lyall, Neil, Rice, Alex
openaire   +2 more sources

Value distribution of difference polynomials

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 2007
We continue to studying value distribution of difference polynomials of meromorphic functions. In particular, we show that extending classical theorems of Tumura-Clunie type to difference polynomials needs additional assumptions.
Laine, Ilpo, Yang, Chung Chun
openaire   +4 more sources

Exploring variable-sensitive q-difference equations for q-SINE Euler polynomials and q-COSINE-Euler polynomials

open access: yesAIMS Mathematics
In this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials.
Jung Yoog Kang, Cheon Seoung Ryoo
doaj   +1 more source

The zeros of complex differential-difference polynomials

open access: yes, 2014
This paper is devoted to considering the zeros of complex differential-difference polynomials of different types. Our results can be seen as the differential-difference analogues of Hayman conjecture (Ann. Math. 70:9-42, 1959).MSC:30D35, 39A05.
Xinling Liu, Kai Liu, Louchuan Zhou
semanticscholar   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez   +2 more
wiley   +1 more source

Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function

open access: yesMathematics, 2018
For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials.
Hong-Yan Xu, Xiu-Min Zheng, Hua Wang
doaj   +1 more source

On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials

open access: yes, 2020
In this paper, we are interested in developing polynomial decomposition techniques to reformulate real valued multivariate polynomials into difference-of-sums-of-squares (namely, D-SOS) and difference-of-convex-sums-of-squares (namely, DC-SOS).
Niu, Yi-Shuai
core  

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