Certain properties of Gegenbauer polynomials via Lie algebra
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A …, 2017•Springer
We establish a result for the product of two operators defined on a Lie algebra of
endomorphisms of a vector space. Then we use this result to derive some properties for
Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is
potentially useful to investigate some other special functions of mathematical physics.
endomorphisms of a vector space. Then we use this result to derive some properties for
Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is
potentially useful to investigate some other special functions of mathematical physics.
Abstract
We establish a result for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. Then we use this result to derive some properties for Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is potentially useful to investigate some other special functions of mathematical physics.
Springer
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