Some identities for the moments of random variables having a linear rescaling the Studentʹs t distribution

Taking advantage of Nadarajahʹs representation of modified Chebyshev polynomials by means of the random variable that has the Studentʹs t distribution [S. Nadarajah, On modified Chebyshev polynomials, J. Math. Anal. Appl. 334 (2007) 1492–1494] the scope of this paper is the generation of the identities for the moments of linear rescaling random variables that have the Studentʹs t distribution.