A NOTE ON THE ASYMPTOTIC EXPANSION OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
2013 ◽
Vol 12
(01)
◽
pp. 107-115
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Keyword(s):
We use arguments from probability theory to derive an explicit expression for the asymptotic expansion of the generalized hypergeometric function for p = q and show that the coefficients in the expansion are polynomials in the parameters of the hypergeometric function. The idea behind this paper originates from the second author's Ph.D. thesis, where the case p = 2 is treated.
1969 ◽
Vol 65
(3)
◽
pp. 725-730
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1968 ◽
Vol 64
(2)
◽
pp. 413-416
1969 ◽
Vol 65
(3)
◽
pp. 591-595
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1962 ◽
Vol 58
(2)
◽
pp. 239-243
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2018 ◽
Vol 21
(5)
◽
pp. 1360-1376
1965 ◽
Vol 61
(2)
◽
pp. 429-432
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