Timeline for Ramanujan's Master Formula: A proof and relation to umbral calculus
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| May 23 at 20:32 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Correct shift in argument of the Hurwitz zeta function added.
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| Jan 23, 2023 at 6:14 | comment | added | Tom Copeland | @TymaGaidash, roughly you are neglecting that $1/t$ tends to infinity as $t$ tends to $0$. Review the use of delta functions and the Gelfand-Shilov rep. Other more elementary intros to generalized functions and regularization of integrals are useful (Kanwal maybe). | |
| Jan 23, 2023 at 3:06 | comment | added | Тyma Gaidash | @TomCopeland If $f(x)=\sum\limits_{n=0}^\infty \int_0^\infty f(t) t^{-n-1}dt \frac{(-x)^n}{n!(-n-1)!}$ does not have the MMT cancel the $(-n-1)!$, then those sum terms are $0$ from $\sum\limits_{n=0}^\infty (\dots)\frac1{(-n-1)!}$. Is there any way to prevent this? | |
| Mar 23, 2021 at 0:23 | history | edited | Tom Copeland | CC BY-SA 4.0 |
added the hypergeometric functions
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| Feb 24, 2021 at 18:26 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Added Mellin transform of Gaussian for reference in other answers
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| Feb 5, 2021 at 21:28 | comment | added | Tom Copeland | A relation to Newton interpolation, which often has a larger region of convergence than the MMT, is given in mathoverflow.net/questions/192146/… | |
| Feb 5, 2021 at 21:15 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Introduced examples of application of the RMF
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| Jan 23, 2021 at 19:52 | comment | added | Tom Copeland | Another simple application of the RMF is illustrated in mathoverflow.net/questions/381935/… | |
| Dec 26, 2020 at 14:35 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Commented on focus of my answer
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| Dec 22, 2020 at 2:40 | comment | added | FFjet | Thx, I'll read it. | |
| Dec 22, 2020 at 2:35 | comment | added | Tom Copeland | As usual, one has to be careful about signs, so I put a little more detail in an answer to the the related MO-Q mathoverflow.net/questions/353282/… | |
| Dec 22, 2020 at 2:28 | comment | added | FFjet | Thanks for your answer and suggestions. I'll pay attention to that next time. | |
| Dec 22, 2020 at 2:26 | vote | accept | FFjet | ||
| Dec 21, 2020 at 19:58 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Corrected notation
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| Dec 21, 2020 at 19:37 | history | answered | Tom Copeland | CC BY-SA 4.0 |