Results 41 to 50 of about 243,897 (100)

A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis [PDF]

open access: yes, 2017
summary:Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super ...
Yuan, Hongfen
core   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

On characterizations of Dunkl-semiclassical orthogonal polynomials [PDF]

open access: yes, 2022
In this paper, the Dunkl-semiclassical orthogonal polynomials will be studied as a generalization ofthe Dunkl-classical ones. We obtain some characterizations for such polynomials.  Moreover, an example of non-symmetric Dunkl-semiclassical ...
Sghaier, Mabrouk, Hamdi, Sabrine
core  

Australian continental‐scale heavy mineral patterns track climate, weathering and erosion

open access: yesSedimentology, Volume 72, Issue 5, Page 1430-1452, August 2025.
ABSTRACT The heavy mineral cargo of sediment is influenced by a complex and variable overprint of climate and environmental processes acting on weathered crystalline basement sources. Here, a continental‐scale heavy mineral compositional dataset of 1315 surface sediment samples, analysed via automated mineralogy, from across Australia is utilized to ...
Maximilian Dröllner   +4 more
wiley   +1 more source

A Fractional Laplacian and Its Extension Problem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9840-9852, June 2025.
ABSTRACT In this paper, we establish four equivalent characterizations of the fractional Laplacian operator (−‖x‖Δk)σ$$ {\left(-\left\Vert x\right\Vert {\Delta}_k\right)}^{\sigma } $$ with 0<σ<1$$ 0<\sigma <1 $$, in some class of functions on ℝd$$ {\mathbb{R}}^d $$.
Salem Ben Said, Selma Negzaoui
wiley   +1 more source

Dunkl-Poisson Equation and Related Equations in Superspace [PDF]

open access: yes, 2015
In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace.
Hong Fen Yuan   +3 more
core   +1 more source

Corrosion of zirconium‐based refractories in glass‐contact areas: Mechanisms and challenges

open access: yesInternational Journal of Applied Ceramic Technology, Volume 22, Issue 3, May/June 2025.
Abstract Zirconium‐based refractories are essential materials in the glass industry due to their outstanding properties including high refractoriness, good thermal shock resistance, and high corrosion resistance with respect to contact with the molten glass, making them suitable for use in critical parts of glass melting furnaces, such as the bottom ...
Cristian Perez Velasquez   +2 more
wiley   +1 more source

Advancing Fractional Riesz Derivatives through Dunkl Operators

open access: yes, 2023
The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives, within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a specific parameter κ equals zero, the Riesz–Dunkl ...
Fethi Bouzeffour
core   +1 more source

Plate Interface Shear Zone in the Sanbagawa Metamorphic Belt, Constrained by RSCM Thermometry, U–Pb Zircon Dating and Phase Equilibria Modelling in the Sarutagawa Region, Central Shikoku, Japan

open access: yesJournal of Metamorphic Geology, Volume 43, Issue 3, Page 257-285, April 2025.
ABSTRACT Exhumed high‐P/low‐T complexes are of paramount importance to directly access rocks that experienced subduction zone processes. However, the original tectono‐metamorphic fabrics are often partially obliterated by exhumation and later deformation, hindering our understanding of the processes occurring at depth.
Samuele Papeschi   +4 more
wiley   +1 more source

The Role of Transpressional Tectonics, Volcanism, and Fluvial Processes on the Oligocene to Pliocene Evolution of Intermontane Basins of the Western Colombian Andes

open access: yesTectonics, Volume 44, Issue 3, March 2025.
Abstract We use new and published detrital zircon U‐Pb data (n > 10,000) from Oligocene‐Pliocene strata of intermontane basins of the western Colombian Andes and surrounding regions to study the evolution of sedimentary systems during the transition from arc collision/accretion to subduction.
Santiago León   +5 more
wiley   +1 more source

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