Results 11 to 20 of about 1,030,362 (115)

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

Mathematics, 2023
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed, Shahid Ahmad Wani, Yamilet Quintana   +2 more
doaj   +2 more sources

Certain Properties and Applications of Δ_h Hybrid Special Polynomials Associated with Appell Sequences

Fractal and Fractional, 2023
The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
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

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

Two-iterated degenerate Appell polynomials: properties and applications

Arab Journal of Basic and Applied Sciences
In the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj   +2 more sources

Differential Equations for Classical and Non-Classical Polynomial Sets: A Survey

Axioms, 2019
By using the monomiality principle and general results on Sheffer polynomial sets, the differential equation satisfied by several old and new polynomial sets is shown.
Paolo Emilio Ricci
doaj   +2 more sources

Monomiality and a New Family of Hermite Polynomials [PDF]

, 2023
The monomiality principle is based on an abstract definition of the concept of derivative and multiplicative operators. This allows to treat different families of special polynomials as ordinary monomials. The procedure underlines a generalization of the
Licciardi S., Giuseppe Dattoli, Silvia Licciardi, Dattoli G.   +3 more
core   +1 more source

General-Appell Polynomials within the Context of Monomiality Principle [PDF]

International Journal of Analysis, 2013
A general class of the 2-variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2-variable general-Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established.
Khan, Subuhi, Raza, Nusrat
openaire   +2 more sources

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

Mathematics, 2023
The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani, Georgia Irina Oros, Ali M. Mahnashi, Waleed Hamali   +3 more
doaj   +1 more source

Degenerate 2D bivariate Appell polynomials: properties and applications

Applied Mathematics in Science and Engineering, 2023
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani, Arundhati Warke, Javid Gani Dar   +2 more
doaj   +1 more source