نتایج جستجو برای: generalized jacobi polynomials

تعداد نتایج: 208523  

2015
E.H. Doha W.M. Abd-Elhameed Y.H. Youssri

Two families of certain nonsymmetric generalized Jacobi polynomials with negative integer indexes are employed for solving third- and fifth-order two point boundary value problems governed by homogeneous and nonhomogeneous boundary conditions using a dual Petrov-Galerkin method. The idea behind our method is to use trial functions satisfying the underlying boundary conditions of the differentia...

ژورنال: پژوهش های ریاضی 2022

In this paper, we are intend to present a numerical algorithm for computing approximate solution of linear and nonlinear Fredholm, Volterra and Fredholm-Volterra  integro-differential equations. The approximated solution is written in terms of fractional Jacobi polynomials. In this way, firstly we define Riemann-Liouville fractional operational matrix of fractional order Jacobi polynomials, the...

Journal: :Journal of Approximation Theory 2008
Julius Borcea

We establish a hierarchy of weighted majorization relations for the singularities of generalized Lamé equations and the zeros of their Van Vleck and Heine-Stieltjes polynomials as well as for multiparameter spectral polynomials of higher Lamé operators. These relations translate into natural dilation and subordination properties in the Choquet order for certain probability measures associated w...

2012
Huiyuan LI Jiachang SUN Yuan XU

Abstract. The discrete Fourier analysis on the 300–600–900 triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G2, which leads to the definition of four families generalized Chebyshev polynomials. The study of these polynomials leads to a Sturm–Liouville eigenvalue problem that contains two parameters, whose solutions are ...

Journal: :Analysis in Theory and Applications 2022

In the present paper, by extending some fractional calculus to framework of Cliffors analysis, new classes wavelet functions are presented. Firstly, monogenic polynomials provided based on 2-parameters weight which extend classical Jacobi ones in context Clifford analysis. The discovered polynomial sets next applied introduce functions. Reconstruction formula as well Fourier-Plancherel rules ha...

In this paper, we exhibit two methods to numerically solve the fractional integro differential equations and then proceed to compare the results of their applications on different problems. For this purpose, at first shifted Jacobi polynomials are introduced and then operational matrices of the shifted Jacobi polynomials are stated. Then these equations are solved by two methods: Caputo fractio...

Journal: :bulletin of the iranian mathematical society 2013
k. kaygisiz a. sahin

in this paper, we give some determinantal and permanental representations of generalized lucas polynomials, which are a general form of generalized bivariate lucas p-polynomials, ordinary lucas and perrin sequences etc., by using various hessenberg matrices. in addition, we show that determinant and permanent of these hessenberg matrices can be obtained by using combinations. then we show, the ...

Journal: :Journal of Inequalities and Applications 2023

Abstract Stenger conjectures are claims about the location of eigenvalues matrices whose elements certain integrals involving basic Lagrange interpolating polynomials supported on zeros orthogonal polynomials. In this paper, we show validity extended conjecture for families classical We also restricted Strenger a family Jacobi and generalized Laguerre A connection with -stability collocation Ru...

Journal: : 2022

Introduction/purpose: Certain integrals involving the generalized Mittag-Leffler function with different types of polynomials are established. Methods: The properties used in conjunction kinds such as Jacobi, Legendre, and Hermite order to evaluate their integrals. Results: Some integral formulae Legendre function, Bessel Maitland hypergeometric functions derived. Conclusions: results obtained ...

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