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

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

Humbert polynomials are a generalization of Pincherle polynomials


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

Mathematics Encyclopedia

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