Rosas Celis, Mercedes Helena2016-05-302016-05-302002-03-06Rosas Celis, M.H. (2002). Specializations of MacMahon symmetric functions and the polynomial algebra. Discrete mathematics, 246 (1-3), 285-293.0012-365Xhttp://hdl.handle.net/11441/41678A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the vector space of MacMahon symmetric functions found by the author to obtain their image under the principal specialization: the powers, rising and falling factorials. Then, we compute the connection coefficients of the different polynomial bases in a combinatorial way.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/MacMahon symmetric functionvector symmetric functionconnection coefficientpolynomial basisinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/S0012-365X(01)00263-1