Pincherle polynomials
From HandWiki
In mathematics, the Pincherle polynomials Pn(x) are polynomials introduced by S. Pincherle (1891) given by the generating function
- [math]\displaystyle{ \displaystyle (1-3xt+t^3)^{-1/2}=\sum^\infty _{n=0}P_n(x)t^n }[/math]
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
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