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Orthogonality for a class of generalised Jacobi polynomial Pα,βν(x)
Ford, Neville J. ; Moayyed, H. ; Rodrigues, M. Manuela
Ford, Neville J.
Moayyed, H.
Rodrigues, M. Manuela
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2018-08-06
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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 Pα,βν(x). The paper concludes with an application in modelling of ophthalmic surfaces.
Citation
Ford, N. J., Moayyed, H. & Rodrigues, M. M. (2018) Orthogonality for a class of generalised Jacobi polynomial Pα,βν(x). Fractional Differential Calculus, 8(1), 95-110. https://doi.org/10.7153/fdc-2018-08-06
Publisher
Ele-Math
Journal
Fractional Differential Calculus
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DOI
10.7153/fdc-2018-08-06
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PubMed Central ID
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Article
Language
en
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ISSN
1847-9677
