Timeline for Yet another real-rooted polynomial
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 12, 2020 at 17:11 | comment | added | Luis Ferroni | Also, since I'll be using this result as a lemma in a paper I would like to acknowledge you, if that's not a problem to you, of course. :) | |
| Feb 12, 2020 at 17:07 | comment | added | Luis Ferroni | Thank you very much for your answer. I was not aware of the existence of Hahn polynomials. Doing some manipulations, I think I can give a very nice simplification to this proof if I could demonstrate that for $a,b$ nonnegative integers: $$\binom{a+b-1}{a-1} {}_3F_2\left( {{1-a, b, -t} \atop {1,b+1}} ; 1\right) = {}_3F_2\left( {{1-a, b, t+1} \atop { 1, 1-a}};1\right).$$ However I can not see how to apply Thomae's transform in any suitable way to go from one to the other side. | |
| Feb 6, 2020 at 13:04 | vote | accept | Luis Ferroni | ||
| Feb 6, 2020 at 6:41 | history | edited | Nemo | CC BY-SA 4.0 |
corrected a typo and simplified the last formula
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| Feb 5, 2020 at 19:03 | history | answered | Nemo | CC BY-SA 4.0 |