Denisyuk Polynomials

In mathematics, Denisyuk polynomials De_n(x) or M_n(x) are generalizations of the Laguerre polynomials introduced by (Denisyuk 1954) given by the generating function^[1] $${\displaystyle {\displaystyle {\displaystyle \sum _{n=0}^{\mathrm{\infty }}}{t}^n{M}_n(x)=\frac{1}{1+t}\exp -\frac{xt}{1-t}.}}$$

• Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., 19, Berlin, New York: Springer-Verlag, https://books.google.com/books?id=eihMuwkh4DsC 

• Denisyuk, I. M. (1954), "Some integrals, matrices and approximations connected with polynomials analogous to the Laguerre polynomials" (in Ukrainian), Akademiya Nauk Ukrainskoui SSR. Doklady. Seriya A. Fiziko-Matematicheskie i Tekhnicheskie Nauki 1954: 239–242, ISSN 0201-8446 

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