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 ∑ n = 0 ∞ t n M n ( x ) = 1 1 + t exp ( − x t 1 − t ) . {\displaystyle \displaystyle \sum _{n=0}^{\infty }t^{n}M_{n}(x)={\frac {1}{1+t}}\exp \left(-{\frac {xt}{1-t}}\right).} == Notes == == References == Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete.