Results 61 to 70 of about 1,071,338 (106)

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

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

Factorizations in Hecke algebras I: Long‐cycle factorizations and Jucys–Murphy elements

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given a permutation, there is a well‐developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initiate the analogous theory for the type‐A$A$ Iwahori–Hecke algebra by generalizing the notion of factorization in terms of the Jucys–Murphy elements.
Jose Bastidas, Sarah Brauner, Mathieu Guay‐Paquet, Alejandro H. Morales, GaYee Park, Franco Saliola   +5 more
wiley   +1 more source

Certain Properties of Δh Multi-Variate Hermite Polynomials

, 2023
The research described in this paper follows the hypothesis that the monomiality principle leads to novel results that are consistent with past knowledge.
Ibtehal Alazman, Badr Saad T. Alkahtani, Shahid Ahmad Wani   +2 more
core   +1 more source

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

Associated Laguerre polynomials: monomiality and bi-orthogonal functions"

, 2008
We exploit the concepts and the formalism associated with the principle of monomiality to derive the ortogonality properties of the associ-ated Laguerre polynomials.
G. Dattoli, M. Migliorati, MIGLIORATI, Mauro, DATTOLI G   +3 more
core  

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

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

Certain Properties and Characterizations of Generalized Gould–Hopper-Based Hybrid Polynomials

Mathematics
This study offers a comprehensive generalization of the Gould–Hopper polynomials and their Appell-type analogs. Employing the quasi-monomiality approach, we delineate fundamental analytical characteristics, including recurrence relations, associated ...
Waseem Ahmad Khan, Francesco Aldo Costabile, Can Kızılateş, Khidir Shaib Mohamed, Alawia Adam, Mona A. Mohamed   +5 more
doaj   +1 more source

Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications

This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties.
Wani, Shahid Ahmad, Lande, Chhaya, Fuentes Gandara, Fabio Armando, Khan, Waseem Ahmad   +3 more
core   +1 more source