Abstract
We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function ( 1 + k x 2 ) ( 1 − x 2 ) − 1 / 2 , k > 0 (1 + k{x^2}) {(1 - {x^2})^{ - 1/2}},k > 0 .
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