Pincherle polynomials

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

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

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" (in Italian), Memorie della Accademia Reale di Bologna I: 337–369