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On sieved orthogonal polynomials. IV. Generating functions

✍ Scribed by Mourad E.H Ismail


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
585 KB
Volume
46
Category
Article
ISSN
0021-9045

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The orthogonality of the generalized Laguerre polynomials, [L (:) n (x)] n 0 , is a well known fact when the parameter : is a real number but not a negative integer. In fact, for &1<:, they are orthogonal on the interval [0, + ) with respect to the weight function \(x)=x : e &x , and for :<&1, but n