Results 81 to 90 of about 1,365,933 (128)

Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration

AIMS Mathematics
In this research, we leverage various $ q $-calculus identities to introduce the notion of $ q $-Hermite-Appell polynomials involving three variables, elucidating their formalism.
Mohra Zayed , Shahid Ahmad Wani, William Ramírez, Clemente Cesarano   +3 more
doaj   +1 more source

Generalización de polinomios de Hermite en la descripción de polinomios de tipo Chebyshev [PDF]

, 2015
Tesis inédita de la Universidad Complutense de Madrid, Facultad de Ciencias Matemáticas, Departamento de Matemática Aplicada, leída el 21-05-2015En esta memoria se obtienen y analizan algunos modelos matemáticos de remodelación y reparación ósea.
Cesarano, Clemente
core   +1 more source

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

Mathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +1 more source

A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

Mathematics
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Shahid Ahmad Wani, Alawia Adam   +4 more
doaj   +1 more source

Certain Properties of $\Delta_h$ Legendre Polynomials and Applications in Computer Modelling

European Journal of Pure and Applied Mathematics
This study investigates the development of polynomials, with a particular focus on the unique \(\Delta_h\) Legendre polynomials. Explicit formulas for these polynomials are derived, along with summation formulae that provide further structural insights ...
S. Wani, W. A. Khan, T. Alqurashi, J. Dar, Dxion Salcedo   +4 more
semanticscholar   +1 more source

Fractional-Type Laplace Transforms [PDF]

Since the Laplace transform plays a central role in the solution of differential equations, it seems natural to extend it in the field of fractional calculus, since many applications of this topic have been proposed, and are becoming more and more ...
Bretti, Gabriella, Caratelli, Diego, Ricci, Paolo Emilio   +2 more
core  

Exploring Properties and Applications of Laguerre Special Polynomials Involving the Δh Form

Symmetry
The primary objective of this research is to introduce and investigate novel polynomial variants termed Δh Laguerre polynomials. This unique polynomial type integrates the monomiality principle alongside operational rules.
N. Alam, S. Wani, W. Khan, Fakhredine Gassem, Anas Altaleb   +4 more
semanticscholar   +1 more source

A Linear Algebra approach to monomiality and operational methods

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  

The Monomiality Approach to Multi-Index Polynomials in Several Variables

, 2007
C. Belingeri, G. Dattoli, P. Ricci
semanticscholar   +1 more source

Introducing ∆h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

Ramirez, William, Nisarc, Junaid, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
openalex   +1 more source