Timeline for Asymptotic behavior of hypergeometric function ${}_{3}F_{2}(a,b-n,c-n;d-n,e-n;1)$ for $n\to\infty$
Current License: CC BY-SA 4.0
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| Sep 20, 2021 at 10:21 | comment | added | Twi | @HjalmarRosengren I haven't tried this approach. Thank you for the comment. | |
| Sep 17, 2021 at 8:59 | comment | added | Hjalmar Rosengren | Did you try to use the three-term transformation ((3.1.3) in Gasper and Rahman, Basic hypergeometric series)? Then you will get a sum of two ${}_3F_2$-series that only have two parameters depending on $n$ instead of four. Formally they tend to summable ${}_2F_1$-series when $n\rightarrow\infty$ and perhaps this will allow you to get a hand on the asymptotics. | |
| Jul 10, 2021 at 17:22 | history | asked | Twi | CC BY-SA 4.0 |