Displaying similar documents to “A characterization of the orthogonal polynomials.”

On a new set of orthogonal polynomials

Franz Hinterleitner (2003)

Archivum Mathematicum

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An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.

On Legendre numbers.

Haggard, Paul W. (1985)

International Journal of Mathematics and Mathematical Sciences

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Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula

Hans Weber (2007)

Open Mathematics

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Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues...