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

References

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

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