Results 31 to 40 of about 1,248 (191)

Fourier transform of hn(x + p)hn(x − p)

International Journal of Mathematics and Mathematical Sciences, 1997
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
doaj   +1 more source

Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from Differential Equations and Location of Their Zeros

Mathematics, 2018
In this paper, we study differential equations arising from the generating functions of Hermit Kamp e ´ de F e ´ riet polynomials. Use this differential equation to give explicit identities for Hermite Kamp e ´ de F
Cheon Seoung Ryoo
doaj   +1 more source

Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin, Philipp Ulbl, Wladimir Zholobenko, Frank Jenko   +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

Extension of Stein’s lemma derived by using an integration by differentiation technique

Examples and Counterexamples, 2022
We extend Stein’s lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein’s lemma, with the first being a rigorous proof by mathematical induction.
Konstantinos Mamis
doaj   +1 more source

Representations of degenerate Hermite polynomials

Advances in Applied Mathematics, 2022
14 ...
Taekyun Kim 0001, Dae San Kim, Lee-Chae Jang, Hyunseok Lee, Hanyoung Kim   +4 more
openaire   +2 more sources

Three‐Dimensional Optical Characterization of Magnetostrictive Deformation in Magnomechanical Systems

Laser &Photonics Reviews, EarlyView.
An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu, Jing Zhang, Jie Li, Rongguo Yang, Jiangrui Gao, Tiancai Zhang   +5 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

Series with Hermite polynomials and applications [PDF]

Publicationes Mathematicae Debrecen, 2012
arXiv admin note: substantial text overlap with arXiv:1006 ...
Boyadzhiev, Khristo N., Dil, Ayhan
openaire   +2 more sources

Poly‐Ether‐Ether‐Ketone Melt Behavior in Fused Deposit Modeling Printing Moves

Polymer Engineering &Science, EarlyView.
A thin solidified layer forms at the print bed during FDM of PEEK, reducing the effective shear height and raising the effective shear rate above the nominal value. Surface defects emerge once the effective shear rate exceeds a critical value of approximately 750 s−1.
Paul Sager, Dan Komorr, Jan‐Malte Dellmuth, Ahmad Zeinolebadi, Rainer Adelung   +4 more
wiley   +1 more source