Rainville polynomials
From HandWiki
In mathematics, the Rainville polynomials pn(z) are polynomials introduced by (Rainville 1945) given by the generating function
- [math]\displaystyle{ \displaystyle e^wI_0(zw) = \sum_np_n(z)w^n }[/math]
(Boas Buck).
References
- Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., 19, Berlin, New York: Springer-Verlag, https://books.google.com/books?id=eihMuwkh4DsC
- Rainville, Earl D. (1945), "Notes on Legendre polynomials", Bulletin of the American Mathematical Society 51: 268–271, doi:10.1090/S0002-9904-1945-08330-X, ISSN 0002-9904
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