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revised Important formulas in Combinatorics
Elaborated on tree reps
Aug
27
revised Important formulas in Combinatorics
Introduced missing signs
Aug
27
revised Important formulas in Combinatorics
deleted 6 characters in body
Aug
27
answered Important formulas in Combinatorics
Aug
27
revised Important formulas in Combinatorics
noted differences from Duchamp's answer
Aug
26
comment Important formulas in Combinatorics
@Duchamp, for Pourchet note see books.google.com/…
Aug
26
comment Important formulas in Combinatorics
On a historical note: Comtet mentions Prouhet or Pourchet on page 220 of his book Adv. Comb. (Reidel, 1974) in relation to the Faa di Bruno formula. I couldn't track that down. Do you know of his contribution?
Aug
26
comment Important formulas in Combinatorics
Cf. also arxiv.org/abs/0910.0695 and the related arxiv.org/abs/1205.2097 on cumulants.
Aug
26
comment Important formulas in Combinatorics
@Duchamps, I made the connection to binomial Sheffer sequences explicit and referenced a Cayley-Comtet tree rep.
Aug
26
revised Important formulas in Combinatorics
Elucidated relation to umbral calculs / binomial Sheffer sequences
Aug
25
comment Important formulas in Combinatorics
@Duchamp, thanks, I had actually missed that particular ref, but have been aware of your group's numerous, excellent contributions with the emphasis on relations to quantum physics.
Aug
25
revised Important formulas in Combinatorics
Added historical notes
Aug
25
revised Pochhammer symbol of a differential, and hypergeometric polynomials
historical note on Poole
Aug
25
revised Important formulas in Combinatorics
Added connections to other combinatoric structures.
Aug
21
revised Important formulas in Combinatorics
Noted relation to Eulerian numbers. Deleted some extraneous statements.
Aug
20
answered Important formulas in Combinatorics
Aug
19
comment Hopf Algebra for a physicist
For more intros to Hopf algebras in physics, see arXiv papers jointly authored by Blasiak, Duchamp, Horzela, Penson and Solomon, and papers by Figueroa and Gracia-Bondi.
Aug
11
answered Generalizing a problem to make it easier
Aug
7
comment What does Mellin inversion “really mean”?
See also tcjpn.wordpress.com/2015/08/05/…
Aug
4
comment Derivative in terms of finite differences
math.stackexchange.com/questions/892961/…