Results 61 to 70 of about 92 (89)

A Note on Truncated Exponential-Based Appell Polynomials via Fractional Operators

Axioms
In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features.
Waseem Ahmad Khan, Francesco Aldo Costabile, Khidir Shaib Mohamed, Alawia Adam, Shahid Ahmad Wani   +4 more
doaj   +1 more source

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   +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

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

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

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.
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$$\Delta _h$$-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramírez, William, Díaz, Stiven, Urieles, Alejandro, Cesarano, Clemente, Wani, Shahid Ahmad   +4 more
openaire   +2 more sources

5 The monomiality principle

2023
openaire   +1 more source

Sabatier principle of metal-support interaction for design of ultrastable metal nanocatalysts

Science, 2021
Sulei Hu, Wei-Xue Li
exaly