Journal article
Solution of the difference equation for Gauss' hypergeometric function by use of the tau method
Computers & mathematics with applications (1987), v 9(5), pp 659-668
1983
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Abstract
In two previous papers the idea of the tau method to get approximate solutions of differential equations was extended to get like results for difference equations. The models treated were the difference equation for the reciprocal of the gamma function and the difference equation for the entire part of the Bessel function of the first kind. In this paper, we apply the tau method as described in the title of this paper. Some numerics are presented which indicate that the process is convergent.
In this connection an ‘a posteriori’ error analysis for the Bessel function case is presented. How this analysis could be extended to the model of the present paper is discussed, but further analysis is deferred to future research.
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Details
- Title
- Solution of the difference equation for Gauss' hypergeometric function by use of the tau method
- Creators
- Yudell L. Luke - University of Missouri–Kansas CityBing Y. Ting - The Marley Cooling Tower Company, Mission, KS 66201, USA U.S.A.Jet Wimp - Drexel University
- Publication Details
- Computers & mathematics with applications (1987), v 9(5), pp 659-668
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1983RQ23200002
- Scopus ID
- 2-s2.0-0020880074
- Other Identifier
- 991019312462304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied