Pincherle polynomials

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

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

Humbert polynomials are a generalization of Pincherle polynomials

References

• Humbert, Pierre (1921), "Some extensions of Pincherle's Polynomials", Proceedings of the Edinburgh Mathematical Society, 39: 21–24, doi:10.1017/S0013091500035756
• Pincherle, Salvatore (1891), "Una nuova estensione delle funzioni sferiche", Memorie della Accademia Reale di Bologna (in Italian), I: 337–369, JFM 23.0514.01