Orthogonality for a class of generalised Jacobi polynomial P^α,β_ν(x)

DOI10.7153/fdc-2018-08-06zbMath1424.33039OpenAlexW2883908561MaRDI QIDQ4626412

M. Manuela Rodrigues, H. Moayyed, Neville J. Ford

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2018-08-06

zbMATH Keywords

approximationJacobi polynomialsoptic modelling

Mathematics Subject Classification ID

Applications of hypergeometric functions (33C90) Special polynomials in general fields (12E10) Numerical approximation and evaluation of special functions (33F05)

Cites Work

• An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates
• On the Riemann-Liouville fractional calculus, \(g\)-Jacobi functions and \(F\)-Gauss functions
• Generalized Jacobi polynomials/functions and their applications
• A new orthogonality property for the Jacobi polynomials and its applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials
• A new property of a class of Jacobi polynomials
• Differential equations for generalized Jacobi polynomials
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