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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