Results 21 to 30 of about 1,365,933 (128)

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

An exploratory study on bivariate extended $ q $-Laguerre-based Appell polynomials with some applications [PDF]

AIMS Mathematics
In this paper, we employed the $ q $-Bessel Tricomi functions of zero-order to introduce bivariate extended $ q $-Laguerre-based Appell polynomials. Then, the bivariate extended $ q $-Laguerre-based Appell polynomials were established in the sense of ...
Mohra Zayed, Waseem Ahmad Khan, Cheon Seoung Ryoo, Ugur Duran   +3 more
doaj   +3 more sources

A note on the monomiality principle and generalized polynomials.

Rendiconti di Matematica e delle Sue Applicazioni, 2001
Summary: The monomiality principle is used to state generalized forms of the division algorithm and of the remainder theorem for families of polynomials written as linear combination of Hermite polynomials.
G. DATTOLI, C. CESARANO, SACCHETTI, Dario   +2 more
openaire   +4 more sources

A monomiality principle approach to the Gould-Hopper polynomials

, 2001
The reviewer [Nederl. Akad. Wet., Proc., Ser. A 79, 457-461 (1976; Zbl 0335.33002)] considered a class of generalized Hermite polynomials generated by \(G[(p+1)xt- t^{p+1})]\), where \(p\) is a positive integer and \(G[z]\) is assumed to possess an analytic expansion about \(z=0\) with nonzero coefficients.
Silvia Noschese
openaire   +5 more sources

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

Mathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani, Abdulghani Muhyi, Khaled Aldwoah, Amel Touati, Khidir Shaib Mohamed, Ria H. Egami   +5 more
doaj   +2 more sources

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +2 more sources

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +2 more sources

A family of trivariate Gould-Hopper-Bell-Apostol-Type polynomials: Construction and properties

AIMS Mathematics
In this study, we define and investigate a new hybrid family of special polynomials, named the trivariate Gould-Hopper-Bell-Apostol-type polynomials.
Rabeb Sidaoui, Abdulghani Muhyi, Khaled Aldwoah, Ayman Alahmade, Mohammed Rabih, Amer Alsulami, Khidir Mohamed   +6 more
doaj   +2 more sources

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   +2 more sources

Monomiality, orthogonal and pseudo-orthogonal polynomials [PDF]

, 2006
G. Dattoli, B. Germano, M. Martinelli, P. Ricci   +3 more
core   +2 more sources