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

Bateman, H. (1944) Note on the Function F (a, b; c - n; z). Proceedings of the National Academy of Sciences of the United States of America, 30 (2). pp. 28-30. ISSN 0027-8424. https://resolver.caltech.edu/CaltechAUTHORS:BATpnas44

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Abstract

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.


Item Type:Article
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Additional Information:Copyright © 1944 by the National Academy of Sciences Communicated January 8, 1944
Issue or Number:2
Record Number:CaltechAUTHORS:BATpnas44
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BATpnas44
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3209
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:19 May 2006
Last Modified:02 Oct 2019 23:00

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