Results 11 to 20 of about 122,453 (243)

On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials [PDF]

, 2004
This paper studies properties of q-Jacobi polynomials and their duals by means of operators of the discrete series representations for the quantum algebra U_q(su_{1,1}). Spectrum and eigenfunctions of these operators are found explicitly.
Natig M. Atakishiyev, A. U. Klimyk
openalex   +3 more sources

A note on pseudo Jacobi polynomials

Ain Shams Engineering Journal, 2013
The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi ...
Mumtaz Ahmad Khan, Abdul Hakim Khan, Sayed Mohammad Abbas   +2 more
doaj   +3 more sources

On the denseness of Jacobi polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Let X represent either a space C[−1, 1] or , 1 ≤ p < ∞, of functions on [−1, 1]. It is well known that X are Banach spaces under the sup and the p‐norms, respectively. We prove that there exist the best possible normalized Banach subspaces of X such that the system of Jacobi polynomials is densely spread on these, or, in other words, each can be ...
Sarjoo Prasad Yadav
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Estimates for Jacobi-Sobolev type orthogonal polynomials [PDF]

arXiv, 1996
Let the Sobolev-type inner product = \int fg d mu_0+ int f' g' d mu_1 with mu_0 = w + M delta_c, mu_1= N delta_c where w is the Jacobi weight, c is either 1 or -1 and M, N >= 0. We obtain estimates and asymptotic properties on [-1,1] for the polynomials orthonormal with respect to <.,.> and their kernels.
Manual Alfaro, Francisco Marcellán
arxiv   +3 more sources

Orthogonal polynomials from Hermitian matrices. II [PDF]

Journal of Mathematical Physics, 2018
This is the second part of the project `unified theory of classical orthogonal polynomials of a discrete variable derived from the eigenvalue problems of hermitian matrices.' In a previous paper, orthogonal polynomials having Jackson integral measures ...
Satoru Odake
exaly   +4 more sources

A note on Jacobi's generating function for the Jacobi polynomials [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1985
On donne une demonstration simple de la fonction generatrice de Jacobi pour les polynomes de Jacobi a l'aide de quelques identites elementaires de la theorie de la serie hypergeometrique de ...
H. M. Srivastava
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On Polar Jacobi Polynomials

Mathematics
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
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Projections Associated with Jacobi Polynomials [PDF]

Proceedings of the American Mathematical Society, 1957
I. I. Hirschman
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Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation [PDF]

Journal of Mahani Mathematical Research, 2023
This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of
Reza Alizadeh, M. Jahangiri, Ali Ebadian, F. Dastmalchi   +3 more
doaj   +1 more source

New Approaches to the General Linearization Problem of Jacobi Polynomials Based on Moments and Connection Formulas

Mathematics, 2021
This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the linearization coefficients of these polynomials.
Waleed Mohamed Abd-Elhameed, Badah Mohamed Badah   +1 more
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