Timeline for The concept of duality
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 2 at 14:13 | comment | added | Tom Copeland | A conjugation duality underlies relationships among any UIP of binomial Sheffer sequences formed from $h(t)$ and $h^{(-1)}(t)$ and the pair of Appell Sheffer sequences with moments $t/h(t)$ and $h^{(-1)}(t)/t$. This leads to a simple classic formula for the Bernoulli numbers and polynomials in terms of the Stirling numbers and polynomials of the first and second kinds and the integer reciprocals $1/(n+1)$. | |
| Jan 2, 2023 at 15:30 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Mar 31, 2017 at 3:26 | comment | added | Tom Copeland | Also mathoverflow.net/questions/172955/… | |
| Feb 3, 2017 at 22:36 | comment | added | Tom Copeland | See also FCs answer and mathoverflow.net/questions/194888/… | |
| Jan 30, 2017 at 0:20 | comment | added | Tom Copeland | The moment / free cumulant duality is also related to Appell sequences and compositional inversion. | |
| Jan 29, 2017 at 22:13 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Added derivation property of Bernoulli polynomials to illustrate consequences of umbral inversion
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| S Jan 29, 2017 at 19:23 | history | answered | Tom Copeland | CC BY-SA 3.0 | |
| S Jan 29, 2017 at 19:23 | history | made wiki | Post Made Community Wiki by Tom Copeland |