Results 51 to 60 of about 246 (165)

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

Generalized Zernike or disc polynomials [PDF]

, 2005
We investigate generalized Zernike or disc polynomials Pm,nα(z,z∗) which are orthogonal 2D polynomials in the unit disc 0⩽zz∗−1 is a free parameter. These polynomials can be expressed by Jacobi polynomials of transformed arguments in connection with a ...
Wünsche, Alfred
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Semi‐analytical solution of axisymmetric indentation of poroelastic multi‐layer coating on a substrate

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 9, September 2025.
Abstract We propose a novel semi‐analytical solution of the indentation problem for a poroelastic multi‐layer system. This study addresses the time‐dependent behavior of materials, such as biological tissues, where mechanical properties vary within the structures.
Kotaro Miura, Makoto Sakamoto, Kazuhiko Sasagawa   +2 more
wiley   +1 more source

Time‐Series Factor Modeling and Selection

Journal of Financial Research, Volume 48, Issue 2, Page 839-875, Summer 2025.
Abstract The article proposes a statistical time‐series factor model that incorporates deterministic orthogonal trend polynomials. Such polynomials allow capturing variation in returns without initially identifying a set of robust time‐series factors.
Michael Michaelides
wiley   +1 more source

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2404-2420, 30 January 2025.
It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations.
Mehmet Kocabiyik, Mevlüde Yakit Ongun
wiley   +1 more source

New generating functions for Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Optimal Algebras and Novel Solutions of Time‐Fractional (2 + 1) − D European Call Option Model

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
In this article, we analyse the time‐fractional (2 + 1) − D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems. Furthermore, under the geometric Brownian motion, we reduced the given model to ordinary differential equation (ODE) with integer ...
Gimnitz Simon S., B. Bira, Sathiyaraj Thambiayya, Palanivel M.   +3 more
wiley   +1 more source

On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative

Journal of Inequalities and Applications
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness of a solution for the model and establish the
Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour, Ardashir Mohammadzadeh   +4 more
doaj   +1 more source

Certain Constraints for Functions Provided by Touchard Polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary, Mohamed Illafe, Feras Yousef, Shikha Binwal   +3 more
wiley   +1 more source

Generalized mixed type Bernoulli-Gegenbauer and Lagrange-based hypergeometric Bernoulli polynomials [PDF]

, 2023
Proceedings of: 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications - June 13-17, 2022 - (Online)The aim of this talk is to present a brief report about two new families of special polynomials generated via the ...
Quintana, Yamilet
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