Gottlieb polynomials

Short description: Number group/set

In mathematics, Gottlieb polynomials are a family of discrete orthogonal polynomials given by

${\ell }_n(x,\lambda )=e^{-n\lambda }\sum _k(1-e^{\lambda }{)}^k(\genfrac{}{}{0ex}{}{n}{k})(\genfrac{}{}{0ex}{}{x}{k})=e^{-n\lambda }{}_2{F}_1(-n,-x;1;1-e^{\lambda })$

Further reading

• Rainville, Earl D. (1960), Special functions, New York: The Macmillan Co.