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On Appell-Laguerre polynomials

open access: yesJournal of Computational and Applied Mathematics, 1993
The author considers so-called Appell-Laguerre polynomials, given explicitly by \[ Q_ n(x;k)=c_ n \sum_{j=0}^ n{(-n)_ j x^ j\over (\alpha+k+1-n)_ j j!} \quad (k,n \in {\mathcal N}). \] He gives a generating function and facts about the simplicity and location of the zeros; for the proofs the author refers to his paper Rodrigues' formula revisited ...
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