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Published February 1, 1944 | public
Journal Article Open

Note on the Function F (a, b; c - n; z)

Bateman, H.


The generating function [equation] may be used to find an estimate of F(a, b; b - n; z) for large positive values of n. When the point t = 1 - 1/z lies outside the circle t = 1 the singularity t = 1 may be used to find an estimate by the method of Darboux [1] and the result is F(a, b; b - n; z) ~ 1.

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Copyright © 1944 by the National Academy of Sciences Communicated January 8, 1944


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