Results 1 to 10 of about 747,819 (103)

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   +3 more sources

Quasi-monomials with respect to subgroups of the plane affine group

Математичні Студії, 2023
Let $H$ be a subgroup of the plane affine group ${\rm Aff}(2)$ considered with the natural action on the vector space of two-variable polynomials. The polynomial family $\{ B_{m,n}(x,y) \}$ is called quasi-monomial with respect to $H$ if the group ...
N. M. Samaruk
doaj   +3 more sources

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

Fractal and Fractional, 2022
The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
doaj   +2 more sources

Two-Variable q-Hermite-Based Appell Polynomials and Their Applications

Mathematics
A noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel, Maryam Salem Alatawi, Waseem Ahmad Khan   +2 more
doaj   +2 more sources

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +2 more sources

An Algebraic Approach to the Δ_h-Frobenius–Genocchi–Appell Polynomials

Mathematics, 2023
In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani, Sarfaraj Shaikh, Parvez Alam, Shahid Tamboli, Mohra Zayed, Javid G. Dar, Mohammad Younus Bhat   +6 more
doaj   +2 more sources

On monomiality property of q-Gould-Hopper-Appell polynomials

Arab Journal of Basic and Applied Sciences
Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials.
Nusrat Raza, Mohammed Fadel, Subuhi Khan
doaj   +3 more sources

A New Generalization of q-Truncated Polynomials Associated with q-General Polynomials

Mathematics
This article presents the theory of trivariate q-truncated Gould–Hopper polynomials through a generating function approach utilizing q-calculus functions.
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +2 more sources

Quasi-Monomiality and Heat-Semigroup Extensions of Mittag–Leffler–Sheffer Polynomials

Mathematics
This draft presents the construction of a two-variable extension E2sn(Θ,Ω)(ρ,y) of the Mittag–Leffler–Sheffer polynomials Esn(Θ,Ω)(ρ) by applying the heat (Gauss–Weierstrass) semigroup generated by the family’s own quasi-monomial lowering operator P^Es ...
Mohd. Sarfaraz, Umme Zainab
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