Results 51 to 60 of about 320 (175)

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2

International Journal of Mathematics and Mathematical Sciences, 2009
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj   +1 more source

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

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

Momentum-space conformal blocks on the light cone

Journal of High Energy Physics, 2018
We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks.
Marc Gillioz
doaj   +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

Exponentials rarely maximize Fourier extension inequalities for cones

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro, Diogo Oliveira e Silva, Betsy Stovall, James Tautges   +3 more
wiley   +1 more source

Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method

Journal of New Theory, 2019
The object of the present paper is to derive the generating formulae for the Gegenbauer and modified Gegenbauer matrix polynomials by introducing a partial differential operatorand constructing the Lie algebra representation formalism of special linear ...
Ayman Shehata
doaj  

Quantum algebra approach to q Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1995
Quantum algebras provide a natural algebraic setting for \(q\)-special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of \(q\)- hypergeometric series. The author here takes the quantum algebra \({\mathcal U}_q (\text{su} (1,1))\) as example, to show that its metaplectic ...
Roberto Floreanini, Luc Vinet
openaire   +3 more sources

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

Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order

Advances in Mechanical Engineering, 2017
Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal, Muhammad Shakeel, Syed Tauseef Mohyud-Din, Muhammad Rafiq   +3 more
doaj   +1 more source