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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