Results 71 to 80 of about 149 (99)

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

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

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 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

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source

FINDING MIXED FAMILIES OF SPECIAL POLYNOMIALS ASSOCIATED WITH GOULD-HOPPER MATRIX POLYNOMIALS

, 2020
In this article, the general polynomials are taken as base with the Gould-Hopper matrix polynomials to introduce a family of 3-variable general-Gould-Hopper matrix polynomials (3VgGHMaP).
Araci, Serkan, Islahi, Hibah, Yasmin, Ghazala   +2 more
core  

Generalized truncated exponential polinomyals and applications

, 2002
The use of the monomiality principle will allow us to obtain generalizations of the truncated exponential polynomials. We will derive the properties of the newfamilies of polynomials and finally we will mention their applications in problems of practical
Marinelli, Laura, Dattoli, Giuseppe, Ricci, Paolo E.   +2 more
core  

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

The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler,
Nisarc, Junaid, Ramirez, William, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
core  

Properties of Partially Degenerate Complex Appell Polynomials

, 2019
Degenerate versions of polynomial sequences have been recently studied to obtain useful properties such as symmetric identities by introducing degenerate exponential-type generating functions.
Sangil Kim, Dojin Kim
core   +1 more source