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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

The asymptotic expansion of a hypergeometric function $ \sb{2}F\sb{2}(1,\,\alpha ;\,\rho \sb{1},\,\rho \sb{2};\,\ z)$


Author: Shoon K. Kim
Journal: Math. Comp. 26 (1972), 963
MSC: Primary 65D20; Secondary 33A30
MathSciNet review: 0314235
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Abstract: The asymptotic expansion of a hypergeometric function $ _2{F_2}(1,\alpha ;{\rho _1},{\rho _2};z)$ is given in terms of hypergeometric functions $ _2{F_0}({z^{ - 1}})$ and $ _3{F_1}({z^{ - 1}})$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1972-0314235-0
PII: S 0025-5718(1972)0314235-0
Keywords: Hypergeometric functions, asymptotic expansion
Article copyright: © Copyright 1972 American Mathematical Society