[PDF][PDF] Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation

WM Abd-Elhameed, AF Abu Sunayh, MH Alharbi… - Aims Math, 2024 - aimspress.com
Here, we provide a new method to solve the time-fractional diffusion equation (TFDE)
following the spectral tau approach. Our proposed numerical solution is expressed in terms …

[PDF][PDF] On generalized Hermite polynomials

WM Abd-Elhameed, OM Alqubori - Aims Math, 2024 - aimspress.com
This article is devoted to establishing new formulas concerning generalized Hermite
polynomials (GHPs) that generalize the classical Hermite polynomials. Derivative …

[PDF][PDF] New expressions for certain polynomials combining Fibonacci and Lucas polynomials

WM Abd-Elhameed, OM Alqubori - AIMS Mathematics, 2025 - aimspress.com
We establish a new sequence of polynomials that combines the Fibonacci and Lucas
polynomials. We will refer to these polynomials as merged Fibonacci-Lucas polynomials …

[PDF][PDF] New results of unified Chebyshev polynomials

WM Abd-Elhameed, OM Alqubori - AIMS Mathematics, 2024 - aimspress.com
This paper presents a new approach for the unified Chebyshev polynomials (UCPs). It is first
necessary to introduce the three basic formulas of these polynomials, namely analytic form …

[PDF][PDF] Some identities of degenerate multi-poly-Changhee polynomials and numbers

SJ Yun, S Park, JW Park, J Kwon - Electronic Research Archive, 2023 - aimspress.com
Recently, many researchers studied the degenerate multi-special polynomials as
degenerate versions of the multi-special polynomials and obtained some identities and …