Results 11 to 20 of about 180,252 (161)

Exceptional Jacobi Polynomials Which Are Deformations of Jacobi Polynomials

open access: yesJournal of Mathematical Analysis and Applications, 2023
In [10] we constructed new examples of exceptional Jacobi polynomials. The difference with the so called standard families is that the examples constructed in [10] depend on an arbitrary number of continuous parameters. Besides these continuous parameters, denoted by M = {Mo M1,...}, each one of the new families of exceptional Jacobi polynomials is ...
Antonio José Durán
exaly   +4 more sources

Exceptional Jacobi Polynomials [PDF]

open access: yesJournal of Approximation Theory, 2019
40 pages, 1 ...
Niels Bonneux
exaly   +3 more sources

A note on pseudo Jacobi polynomials

open access: yesAin 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   +2 more
doaj   +2 more sources

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj   +2 more sources

Properties of the Polynomials Associated with the Jacobi Polynomials [PDF]

open access: yesMathematics of Computation, 1986
Power forms and Jacobi polynomial forms are found for the polynomials W n (
S. Lewanowicz
openaire   +3 more sources

Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 1994
The authors obtain upper bounds for Jacobi polynomials which are uniform in all the parameters involved and which contain explicit constants. This is done by a combination of some results on generalized Christoffel functions and some estimates of Jacobi polynomials in terms of Christoffel functions.
Tamás Erdélyi, Paul Névai
exaly   +2 more sources

Jacobi–Sobolev Orthogonal Polynomials, Differential Properties and Structural Formulas

open access: yesAxioms
In this paper, we extend some differential and structural results for monic Jacobi–Sobolev orthogonal polynomials, associated with a general discrete Sobolev inner product, with a Jacobi continuous part. We consider finitely many exterior mass points and
Héctor Pijeira-Cabrera   +2 more
doaj   +2 more sources

On Linearization Coefficients of Jacobi Polynomials

open access: yesApplied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamza Chaggara, Wolfram Koepf
exaly   +2 more sources

Jacobi-Trudy formula for generalized Schur polynomials [PDF]

open access: yes, 2014
Jacobi-Trudy formula for a generalization of Schur polynomials related to any sequence of orthogonal polynomials in one variable is given.
A.N. Sergeev (7160591)   +1 more
core   +6 more sources

On Polar Jacobi Polynomials [PDF]

open access: yesMathematics
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
doaj   +2 more sources

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