Results 71 to 80 of about 525,666 (282)

Recurrence Relations for Wronskian Hermite Polynomials [PDF]

, 2018
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Niels Bonneux, Marco Stevens
semanticscholar   +1 more source

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
wiley   +1 more source

Partial Derivative Equations and Identities for Hermite-Based Peters-Type Simsek Polynomials and Their Applications

Mathematics
The objective of this paper is to investigate Hermite-based Peters-type Simsek polynomials with generating functions. By using generating function methods, we determine some of the properties of these polynomials.
Eda Yuluklu
doaj   +1 more source

Mehler's formulas for the univariate complex Hermite polynomials and applications [PDF]

, 2017
We give 2 widest Mehler's formulas for the univariate complex Hermite polynomials Hm,nν , by performing double summations involving the products umHm,nν(z,z‾)Hm,nν(w,w‾)‾ and umvnHm,nν(z,z‾)Hm,nν′(w,w‾)‾ . They can be seen as the complex analogues of the
A. Ghanmi
semanticscholar   +1 more source

An extension of Hermite polynomials [PDF]

International Journal of Contemporary Mathematical Sciences, 2014
In this paper, we introduce an extended Hermite polynomial ( , ) ( ) a b n H x , we establish its different forms, generating functions, basic recurrence relations, the pure recurrence relation, the second order differential equation, Rodrigues formula and orthogonality of the extended polynomial.
Ghulam Farid, G. M. Habibullah
openaire   +1 more source

Stimulated Raman Scattering with Optical Vortex Beams

Advanced Photonics Research, EarlyView.
This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley   +1 more source

Solvent and Ion‐Mediated Behavior of a Thermoresponsive Brush: Specific Ion Effects in Methanol‐Water Electrolytes

Macromolecular Rapid Communications, EarlyView.
The manifestation of specific ion effects in methanol‐water mixtures on polymer brush exemplars is explored. Spectroscopic ellipsometry and neutron reflectometry revealed solvent‐driven LCST changes in a thermoresponsive brush, which is also readily influenced by the presence of electrolytes.
Hayden Robertson, Joshua D. Willott, Andrew R.J. Nelson, Stuart W. Prescott, Erica J. Wanless, Grant, B. Webber   +6 more
wiley   +1 more source

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions

AIMS Mathematics, 2023
The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang, Cheon Seoung Ryoo, Jung Yoog Kang   +2 more
doaj   +1 more source

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source