Results 91 to 100 of about 180,252 (161)

Some generalized Jacobi polynomials

Computers & Mathematics with Applications, 2003
Following the work of the first author [Int. J. Math. Math. Sci. 24, No. 10, 673--689 (2000; Zbl 0967.33006)] in this paper the authors obtain the explicit expressions for the coefficients in the three term pure recurrence relation for generalized Jacobi polynomials defined by a positive weight function which involves a \(p\)th power of \((1-x)\).
Atia, M.J., Alaya, J., Ronveaux, A.
openaire   +2 more sources

A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
wiley   +1 more source

New Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems

The Scientific World Journal, 2014
This paper is concerned with deriving some new formulae expressing explicitly the high-order derivatives of Jacobi polynomials whose parameters difference is one or two of any degree and of any order in terms of their corresponding Jacobi polynomials ...
W. M. Abd-Elhameed
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source

Differentiation by integration with Jacobi polynomials

Journal of Computational and Applied Mathematics, 2011
In this paper, the numerical differentiation by integration method based on Jacobi polynomials originally introduced by Mboup, Fliess and Join is revisited in the central case where the used integration window is centered. Such method based on Jacobi polynomials was introduced through an algebraic approach and extends the numerical differentiation by ...
Liu, Da-Yan, Gibaru, Olivier, Perruquetti, Wilfrid   +2 more
openaire   +5 more sources

Matchings: Source, goal, and faithful companion

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract Matchings were among the earliest motivations for graph theory. They subsequently remained a central goal, inspiring the development of new mathematical tools that went well beyond problems directly concerning matchings. These tools proved widely applicable, accompanying the growth of graph theory over the past century.
András Sebő
wiley   +1 more source

On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial,  $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de
Biniyam Shimelis, Dayalal Suthar
doaj   +1 more source

On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley   +1 more source

Riemann–Liouville Operator in Weighted L_p Spaces via the Jacobi Series Expansion

Axioms, 2019
In this paper, we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann−Liouville fractional integral and derivative operators on a compact of the real axis.
Maksim V. Kukushkin
doaj   +1 more source