Denisyuk polynomials

In mathematics, Denisyuk polynomials Den(x) or Mn(x) are generalizations of the Laguerre polynomials introduced by (Denisyuk 1954) given by the generating function[1] ∑n=0∞tnMn(x)=11+texp⁡−xt1−t.

## Notes

1. ↑ Boas & Buck (1958), p. 41.

## References

* 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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