Results 71 to 80 of about 1,030,362 (115)

Exploring Extended Degenerate Bell-Based Appell Polynomials via Fractional Operators: Properties, Determinant Representations, and Numerical Illustrations

Mathematics
This paper introduces a new family of extended degenerate Bell-based Appell polynomials by applying Euler’s integral as a fractional operator to the Appell-type degenerate Bell polynomials.
Mohra Zayed, Ines Ben Omrane, Francesco Aldo Costabile, Mdi Begum Jeelani, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source

Multi-variable Gould-Hopper and Laguerre polynomials

Le Matematiche, 2007
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
doaj  

The Umbral-Algebraic Approach to Study the General Appell–λ Polynomials

Mathematics
We introduce and comprehensively study a new class of hybrid special polynomials in three variables, which we call the three-variable general-Appell–λ polynomials, which are denoted as λnPA(u,v,w:β).
Waseem Ahmad Khan, Khidir Shaib Mohamed, Muntasir Suhail, Ahmed Himadan, Habeeb Ibrahim, Shahid Ahmad Wani   +5 more
doaj   +1 more source

PRINSIP MONOMIALITY DAN FUNGSI EIGEN DARI OPERATOR DIFERENSIAL

, 2013
Diberikan suatu persamaan Apn(x) = pn(x) yang mempunyai penyelesaian tak nol, dimana adalah konstanta, A adalah operator diferensial, dan polinomial pn(x) disebut fungsi eigen.
ADE, FITRI
core   +1 more source

A Note on Truncated Exponential-Based Appell Polynomials via Fractional Operators

Axioms
In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features.
Waseem Ahmad Khan, Francesco Aldo Costabile, Khidir Shaib Mohamed, Alawia Adam, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Formal statement of the special principle of relativity [PDF]

, 2013
While there is a longstanding discussion about the interpretation of the extended, general principle of relativity, there seems to be a consensus that the special principle of relativity is absolutely clear and unproblematic.
Gomori, Marton, Szabo, Laszlo E.
core   +1 more source

A Linear Algebra approach to monomiality and operational methods [PDF]

We use linear algebraic methods to obtain general results about linear operators on a space of polynomials that we apply to the operators associated with a polynomial sequence by the monomiality property.
Verde-Star, Luis
core   +1 more source

Exploring the Characteristics of Δ_h Bivariate Appell Polynomials: An In-Depth Investigation and Extension through Fractional Operators

Fractal and Fractional
The objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
doaj   +1 more source

Several Characterizations of Δh-Doped Special Polynomials Associated with Appell Sequences

, 2023
The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced.
Rabab Alyusof, Shahid Ahmmad Wani
core   +1 more source