Descriptions of fractional coefficients of Jacobi polynomial expansions (Q2093870)

scientific article; zbMATH DE number 7608555

Language	Label	Description	Also known as
English	Descriptions of fractional coefficients of Jacobi polynomial expansions	scientific article; zbMATH DE number 7608555

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instance of

scholarly article

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title

Descriptions of fractional coefficients of Jacobi polynomial expansions (English)

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author

Richard Olu Awonusika

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Afolabi Gabriel Ariwayo

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published in

The Journal of Analysis

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publication date

27 October 2022

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zbMATH Keywords

Jacobi polynomials

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Hankel transform

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special functions

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Jacobi coefficients

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fractional Jacobi coefficients

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fractional Taylor expansion

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fractional Jacobi-Taylor coefficients

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describes a project that uses

OPQ

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Heat Conduction Toolbox

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Fractional Heat Conduction Toolbox

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s41478-022-00419-9

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cites work

Q4052481

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A note on fractional order derivatives and table of fractional derivatives of some special functions

0 references

On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation

0 references

Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties

0 references

Retracted: New numerical method for ordinary differential equations: Newton polynomial

0 references

Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

0 references

On spectral identities involving Gegenbauer polynomials

0 references

On Jacobi polynomials \(\mathscr{P}_k^{(\alpha,\beta)}\) and coefficients \(c_j^{\ell}(\alpha,\beta)\) \((k\geq 0, \ell =5,6; 1\leq j\leq \ell; \alpha,\beta > -1)\)

0 references

On Jacobi polynomials and fractional spectral functions on compact symmetric spaces

0 references

On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces

0 references

On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\)

0 references

A Spectral Identity on Jacobi Polynomials and its Analytic Implications

0 references

The convergence rates of expansions in Jacobi polynomials

0 references

Improved Jacobi matrix method for the numerical solution of Fredholm integro-differential-difference equations

0 references

Q5827353

0 references

Jacobi spectral Galerkin method for the integrated forms of second-order differential equations

0 references

A new operational matrix of fractional integration for shifted Jacobi polynomials

0 references

An efficient spectral method for ordinary differential equations with rational function coefficients

0 references

Functional Fractional Calculus

0 references

Q4238402

0 references

Jacobi matrix differential equation, polynomial solutions, and their properties

0 references

On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations

0 references

On the coefficients of differentiated expansions and derivatives of Jacobi polynomials

0 references

Explicit Formulae for the Coefficients of Integrated Expansions of Jacobi Polynomials and Their Integrals

0 references

Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical Polynomials

0 references

Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method

0 references

Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations

0 references

The coefficients of differentiated expansions of double and triple Jacobi polynomials

0 references

Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials

0 references

Some results on the coefficients of integrated expansions of ultraspherical polynomials and their integrals

0 references

Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations

0 references

On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds

0 references

Q3257259

0 references

Analytic continuation of Jacobi polynomial expansions

0 references

An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis

0 references

Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression

0 references

Computational many-particle physics. Papers presented at the summer school, Greifswald, Germany, September 2006.

0 references

On a filter for exponentially localized kernels based on Jacobi polynomials

0 references

Q5533821

0 references

Orthogonal polynomials - Constructive theory and applications

0 references

Q5690368

0 references

Q4820343

0 references

Fractional integrals on compact Riemannian symmetric spaces of rank one

0 references

Q4199478

0 references

Q3084090

0 references

Matrix valued Jacobi polynomials

0 references

Riemann's Form of Taylor's Series

0 references

Q3076839

0 references

Sub-exponentially localized kernels and frames induced by orthogonal expansions

0 references

A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function

0 references

A Fokker–Planck equation of fractional order with respect to time

0 references

Schrödinger equation for quantum fractal space-time of order \(n\) via the complex-valued fractional Brownian motion.

0 references

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

0 references

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

0 references

Q5699297

0 references

Theorems connecting Stieltjes transform and Hankel transform

0 references

Q5816295

0 references

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

0 references

Q3989347

0 references

Quick construction of recurrence relations for the Jacobi coefficients

0 references

Spectral radial basis functions for full sphere computations

0 references

The special functions and their approximations. Vol. I, II

0 references

Time-fractional derivatives in relaxation processes: a tutorial survey

0 references

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

0 references

Polynomial operators for spectral approximation of piecewise analytic functions

0 references

Q3233387

0 references

A review of definitions for fractional derivatives and integral

0 references

Fractional calculus for scientists and engineers.

0 references

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

0 references

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

0 references

On the Coefficients of Integrated Expansions of Ultraspherical Polynomials

0 references

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

0 references

An optimal property of Chebyshev expansions

0 references

Very High Accuracy Chebyshev Expansions for the Basic Trigonometric Functions

0 references

Constructive polynomial approximation on the sphere

0 references

Introduction to Uncertainty Quantification

0 references

Q4061445

0 references

On a Riemann-Liouville generalized Taylor's formula

0 references

Q5559954

0 references

On some properties of fractional powers of linear operators

0 references

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

0 references

Heat conduction modeling by using fractional-order derivatives

0 references

Identifiers

Mathematics Subject Classification ID

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10.1007/S41478-022-00419-9

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Sitelinks

Mathematics(1 entry)

mardi Descriptions of fractional coefficients of Jacobi polynomial expansions