Humbert polynomials
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In mathematics, the Humbert polynomials π{{su|b=n,m|p=λ}}(x) are a generalization of Pincherle polynomials introduced by {{harvs|txt|last=Humbert|year=1921|authorlink=Pierre Humbert (mathematician)}} given by the generating function
:
_{n=0}\pi^\lambda_{n,m}(x)t^n
{{harvtxt|Boas|Buck|1958|loc=p.58}}.
See also
References
- {{Citation | last1=Boas | first1=Ralph P. | last2=Buck | first2=R. Creighton | title=Polynomial expansions of analytic functions | url=https://books.google.com/books?id=eihMuwkh4DsC | publisher=Springer-Verlag | location=Berlin, New York | journal=Ergebnisse der Mathematik und Ihrer Grenzgebiete |series=Neue Folge | mr=0094466 | year=1958 | volume=19| isbn=978-0-387-03123-1 }}
- {{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 }}
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