On Quasi-Orthogonal Polynomials

DOI10.2307/2034306zbMath0125.31502OpenAlexW4232359535MaRDI QIDQ5330804

David Dickinson

Publication date: 1961

Full work available at URL: https://doi.org/10.2307/2034306

zbMATH Keywords

special functions

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Cites Work

• Unnamed Item
• Two systems of polynomials for the solution of Laplace's integral equation
• Some properties of \(_3F_2(-n,n+1,\zeta;1,p;v)\).
• The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell
• Some generalized hypergeometric polynomials
• A Note on Pure Recurrence Relations
• On quasi-orthogonal polynomials