Results 61 to 70 of about 263,554 (202)

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.
ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley   +1 more source

Square-rich fixed point polynomial evaluation on FPGAs [PDF]

, 2014
Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to
McLoughlin, Ian V., Suhaib A. Fahmy, Xu, Simin, Fahmy, Suhaib A., Ian V. McLoughlin, Simin Xu   +5 more
core   +1 more source

New interpolatory quadrature formulae with Gegenbauer abscissae [PDF]

, 2003
We study interpolatory quadrature formulae, relative to the Legendre weight function on [-1, 1], having as nodes the zeros of the nth degree Gegenbauer polynomial plus one of the points 1 or -1.
Notaris, S.E.
core   +3 more sources

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

Gegenbauer wavelet solutions of fractional integro-differential equations

, 2023
The aim of this study is to use Gegenbauer wavelets in the solution of fractional integro-differential equations. The method is applied to several problems with different values of resolution parameter and the degree of the truncated polynomial.
Özaltun G., Konuralp A., Gümgüm S.
core   +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

Gegenbauer polynomial expansion applied to crossed binary gratings

, 2015
The modal method based on Gegenbauer polynomials (MMGE) is extended to the case of bidi- mensional binary gratings. A new concept of modified polynomials is introduced in order to take into account boundary conditions and also to make the method more ...
Edee, Kofi, Guizal, Brahim, Plumey, Jean-Pierre   +2 more
core   +2 more sources

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