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New product and linearization formulae of Jacobi polynomials of certain parameters (Q5262275)

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scientific article; zbMATH DE number 6458497

Language	Label	Description	Also known as
English	New product and linearization formulae of Jacobi polynomials of certain parameters	scientific article; zbMATH DE number 6458497

Statements

scholarly article

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New product and linearization formulae of Jacobi polynomials of certain parameters (English)

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Integral Transforms and Special Functions

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publication date

13 July 2015

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zbMATH Keywords

Jacobi polynomials

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generalized hypergeometric functions

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symbolic algorithms

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Waleed M. Abd-Elhameed

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/10652469.2015.1029924

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Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials

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Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials

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The third and fourth kinds of Chebyshev polynomials and best uniform approximation

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Linearization of the Product of Jacobi Polynomials. I

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Linearization of the Product of Jacobi Polynomials. II

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Linearization of the Product of Jacobi Polynomials. III

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On linearization coefficients of Jacobi polynomials

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Linearization of Products of Jacobi Polynomials.

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Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation

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Linearization and connection formulae involving squares of Gegenbauer polynomials

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General linearization formulae for products of continuous hypergeometric-type polynomials

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Some connection and linearization problems for polynomials in and beyond the Askey scheme

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Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas

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On linearization and connection coefficients for generalized Hermite polynomials

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Connection and linearization coefficients of the Askey-Wilson polynomials

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Duplication coefficients via generating functions

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On the connection coefficients and recurrence relations arising from expansions in series of Laguerre polynomials

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On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials

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On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials

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A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials

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Hypergeometric summation. An algorithmic approach to summation and special function identities

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Finite singularities and hypergeometric solutions of linear recurrence equations

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Identifiers

zbMATH Open document ID

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10.1080/10652469.2015.1029924

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5262275

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