New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials

The main aim of this paper is to develop four innovative linearization formulas for some nonsymmetric Jacobi polynomials. This means that we find the coefficients of the products of Jacobi polynomials of certain parameters. In general, these coefficients are expressed in terms of certain hypergeomet...

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Vydáno v:	Advances in difference equations Ročník 2015; číslo 1; s. 1 - 13
Hlavní autor:	Abd-Elhameed, Waleed M
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 04.06.2015 Springer Nature B.V
Témata:	Algebra Algorithms Analysis Difference and Functional Equations Formulas (mathematics) Functional Analysis Hypergeometric functions Linearization Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Polynomials Stopping Transformations (mathematics) Jacobi polynomials 42C10 33C25 hypergeometric functions recurrence relations 33D45 symbolic computation 33A50 linearization coefficients
ISSN:	1687-1847, 1687-1839, 1687-1847
On-line přístup:	Získat plný text
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