Pincherle polynomials

In mathematics, the Pincherle polynomials P_n(x) are polynomials introduced by {{harvs|txt|first=S.|last=Pincherle|year=1891|authorlink=S. Pincherle}} 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

References

{{Citation | last1=Humbert | first1=Pierre | title=Some extensions of Pincherle's Polynomials | doi=10.1017/S0013091500035756 | year=1921 | journal=Proceedings of the Edinburgh Mathematical Society | volume=39 | pages=21–24| doi-access=free }}
{{citation|last=Pincherle|first=Salvatore|year=1891|title=Una nuova estensione delle funzioni sferiche| language=Italian|journal=Memorie della Accademia Reale di Bologna|volume=I|pages=337–369|jfm=23.0514.01}}

Category:Polynomials