Results 61 to 70 of about 575,831 (281)

Value distribution of difference polynomials

Proceedings 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

Multivariate Difference–Differential Dimension Polynomials [PDF]

Mathematics in Computer Science, 2020
28 ...
openaire   +3 more sources

Special polynomials associated with the K2 hierarchy [PDF]

, 2007
New special polynomials associated with the rational solutions of analogue to the Painleve hierarchies are introduced. The Hirota relations for these special polynomials are found. Differential - difference hierarchies for finding special polynomials are presented.
arxiv   +1 more source

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

AIMS 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

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

Mathematics, 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

Multivariate Delta Goncarov and Abel Polynomials [PDF]

Journal of Mathematical Analysis and Applications, Vol. 446, No. 1 (Feb 2017), pp. 663-680, 2016
Classical Gon\v{c}arov polynomials are polynomials which interpolate derivatives. Delta Gon\v{c}arov polynomials are polynomials which interpolate delta operators, e.g., forward and backward difference operators. We extend fundamental aspects of the theory of classical bivariate Gon\v{c}arov polynomials and univariate delta Gon\v{c}arov polynomials to ...
arxiv   +1 more source

Properties of some difference polynomials

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2013
In this article, we investigate some properties of some difference polynomials. The results in this article improve some theorems of Liu and Laine. Several examples are provided to show that our results are best possible.
Liu, Yong, Yi, Hong-Xun
openaire   +3 more sources

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

International 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, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials

Mathematics, 2018
The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj   +1 more source