Orthogonality for a class of generalised Jacobi polynomial $P^{\alpha,\beta}_{\nu}(x)$

Hdl Handle:
http://hdl.handle.net/10034/620536
Title:
Orthogonality for a class of generalised Jacobi polynomial $P^{\alpha,\beta}_{\nu}(x)$
Authors:
Ford, Neville J.; Moayyed, H.; Rodrigues, M. M.
Abstract:
This work considers g-Jacobi polynomials, a fractional generalisation of the classical Jacobi polynomials. We discuss the polynomials and compare some of their properties to the classical case. The main result of the paper is to show that one can derive an orthogonality property for a sub-class of g-Jacobi polynomials $P^{\alpha,\beta}_{\nu}(x)$ The paper concludes with an application in modelling of ophthalmic surfaces.
Affiliation:
University of Chester, University of Aveiro, University of Aveiro
Citation:
Ford, N. J., Moayyed, H. & Rodrigues, M. M. (2017-forthcoming) Orthogonality for a class of generalised Jacobi polynomial $P^{\alpha,\beta}_{\nu}(x)$, Fractional Differential Calculus.
Publisher:
Ele-Math
Journal:
Fractional Differential Calculus
Publication Date:
2017
URI:
http://hdl.handle.net/10034/620536
Type:
Article
Language:
en
ISSN:
1847-9677
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorFord, Neville J.en
dc.contributor.authorMoayyed, H.en
dc.contributor.authorRodrigues, M. M.en
dc.date.accessioned2017-06-12T12:56:43Z-
dc.date.available2017-06-12T12:56:43Z-
dc.date.issued2017-
dc.identifier.citationFord, N. J., Moayyed, H. & Rodrigues, M. M. (2017-forthcoming) Orthogonality for a class of generalised Jacobi polynomial $P^{\alpha,\beta}_{\nu}(x)$, Fractional Differential Calculus.en
dc.identifier.issn1847-9677-
dc.identifier.urihttp://hdl.handle.net/10034/620536-
dc.description.abstractThis work considers g-Jacobi polynomials, a fractional generalisation of the classical Jacobi polynomials. We discuss the polynomials and compare some of their properties to the classical case. The main result of the paper is to show that one can derive an orthogonality property for a sub-class of g-Jacobi polynomials $P^{\alpha,\beta}_{\nu}(x)$ The paper concludes with an application in modelling of ophthalmic surfaces.en
dc.language.isoenen
dc.publisherEle-Mathen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectmathematicsen
dc.subjectModellingen
dc.subjectorthogonal functionsen
dc.subjectapproximationen
dc.subjectfractional orderen
dc.subjectopticsen
dc.titleOrthogonality for a class of generalised Jacobi polynomial $P^{\alpha,\beta}_{\nu}(x)$en
dc.typeArticleen
dc.contributor.departmentUniversity of Chester, University of Aveiro, University of Aveiroen
dc.identifier.journalFractional Differential Calculusen
dc.date.accepted2017-05-22-
or.grant.openaccessYesen
rioxxterms.funderFCT (Portugal)en
rioxxterms.identifier.projectunfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2217-12-31-
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