Descriptions of fractional coefficients of Jacobi polynomial expansions
type: Item
instance of: scholarly article
title: Descriptions of fractional coefficients of Jacobi polynomial expansions
author: Richard Olu Awonusika
author: Afolabi Gabriel Ariwayo
published in: The Journal of Analysis
publication date: 2022-10-27T00:00:00Z
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 7608555
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: Hankel transform
zbMATH Keywords: special functions
zbMATH Keywords: Jacobi coefficients
zbMATH Keywords: fractional Jacobi coefficients
zbMATH Keywords: fractional Taylor expansion
zbMATH Keywords: fractional Jacobi-Taylor coefficients
describes a project that uses: OPQ
describes a project that uses: Heat Conduction Toolbox
describes a project that uses: Fractional Heat Conduction Toolbox
MaRDI profile type: Publication
full work available at URL: s41478-022-00419-9
OpenAlex ID: W4224043799
cites work: Q4052481
cites work: A note on fractional order derivatives and table of fractional derivatives of some special functions
cites work: On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
cites work: Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
cites work: Retracted: New numerical method for ordinary differential equations: Newton polynomial
cites work: Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
cites work: On spectral identities involving Gegenbauer polynomials
cites work: On Jacobi polynomials \(\mathscr{P}_k^{(\alpha,\beta)}\) and coefficients \(c_j^{\ell}(\alpha,\beta)\) \((k\geq 0, \ell =5,6; 1\leq j\leq \ell; \alpha,\beta > -1)\)
cites work: On Jacobi polynomials and fractional spectral functions on compact symmetric spaces
cites work: On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces
cites work: On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\)
cites work: A Spectral Identity on Jacobi Polynomials and its Analytic Implications
cites work: The convergence rates of expansions in Jacobi polynomials
cites work: Improved Jacobi matrix method for the numerical solution of Fredholm integro-differential-difference equations
cites work: Q5827353
cites work: Jacobi spectral Galerkin method for the integrated forms of second-order differential equations
cites work: A new operational matrix of fractional integration for shifted Jacobi polynomials
cites work: An efficient spectral method for ordinary differential equations with rational function coefficients
cites work: Functional Fractional Calculus
cites work: Q4238402
cites work: Jacobi matrix differential equation, polynomial solutions, and their properties
cites work: On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations
cites work: On the coefficients of differentiated expansions and derivatives of Jacobi polynomials
cites work: Explicit Formulae for the Coefficients of Integrated Expansions of Jacobi Polynomials and Their Integrals
cites work: Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical Polynomials
cites work: Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method
cites work: Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations
cites work: The coefficients of differentiated expansions of double and triple Jacobi polynomials
cites work: Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
cites work: Some results on the coefficients of integrated expansions of ultraspherical polynomials and their integrals
cites work: Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
cites work: On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds
cites work: Q3257259
cites work: Analytic continuation of Jacobi polynomial expansions
cites work: An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis
cites work: Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
cites work: Computational many-particle physics. Papers presented at the summer school, Greifswald, Germany, September 2006.
cites work: On a filter for exponentially localized kernels based on Jacobi polynomials
cites work: Q5533821
cites work: Orthogonal polynomials - Constructive theory and applications
cites work: Q5690368
cites work: Q4820343
cites work: Fractional integrals on compact Riemannian symmetric spaces of rank one
cites work: Q4199478
cites work: Q3084090
cites work: Matrix valued Jacobi polynomials
cites work: Riemann's Form of Taylor's Series
cites work: Q3076839
cites work: Sub-exponentially localized kernels and frames induced by orthogonal expansions
cites work: A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
cites work: A Fokker–Planck equation of fractional order with respect to time
cites work: Schrödinger equation for quantum fractal space-time of order \(n\) via the complex-valued fractional Brownian motion.

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cites work: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results

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cites work: Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions

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cites work: Q5699297

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cites work: Theorems connecting Stieltjes transform and Hankel transform

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cites work: Q5816295

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cites work: Recurrence Relations for the Coefficients in Jacobi Series Solutions of Linear Differential Equations

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cites work: Q3989347

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cites work: Quick construction of recurrence relations for the Jacobi coefficients

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cites work: Spectral radial basis functions for full sphere computations

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cites work: The special functions and their approximations. Vol. I, II

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cites work: Time-fractional derivatives in relaxation processes: a tutorial survey

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cites work: Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

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cites work: Polynomial operators for spectral approximation of piecewise analytic functions

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cites work: Q3233387

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cites work: A review of definitions for fractional derivatives and integral

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cites work: Fractional calculus for scientists and engineers.

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cites work: A formula for the coefficients of orthogonal polynomials from the three-term recurrence relations

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cites work: On the Legendre Coefficients of a General-Order Derivative of an Infinitely Differentiable Function

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cites work: On the Coefficients of Integrated Expansions of Ultraspherical Polynomials

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cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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cites work: An optimal property of Chebyshev expansions

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cites work: Very High Accuracy Chebyshev Expansions for the Basic Trigonometric Functions

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cites work: Constructive polynomial approximation on the sphere

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cites work: Introduction to Uncertainty Quantification

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cites work: Q4061445

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cites work: On a Riemann-Liouville generalized Taylor's formula

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cites work: Q5559954

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cites work: On some properties of fractional powers of linear operators

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cites work: The accurate solution of Poisson's equation by expansion in Chebyshev polynomials

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cites work: Heat conduction modeling by using fractional-order derivatives

Descriptions of fractional coefficients of Jacobi polynomial expansions (DOI)
DOI: 10.1007/S41478-022-00419-9

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