Pincherle polynomials

In mathematics, the Pincherle polynomials P_n(x) are polynomials introduced by S. Pincherle (1891) given by the generating function

$\displaystyle (1-3xt+t^{3})^{-1/2}=\sum _{n=0}^{\infty }P_{n}(x)t^{n}$

Humbert polynomials are a generalization of Pincherle polynomials

Further reading

• Humbert, Pierre (1921), "Some extensions of Pincherle's Polynomials", Proceedings of the Edinburgh Mathematical Society, 39: 21–24, doi:10.1017/S0013091500035756