- Tytuł:
- The form of the n-th iteration of the operator q=fd/dx
- Autorzy:
- Szymkat, Maciej
- Powiązania:
- https://bibliotekanauki.pl/articles/747433.pdf
- Data publikacji:
- 1983
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Combinatorial identities, bijective combinatorics
Partitions
Ordinary differential operators - Opis:
-
Artykuł nie zawiera streszczenia
Motivated by applications in linear dynamical systems, the author studies q^n(f), where q is the operator f●(d/dx) and qn is its n-th iteration. q^n(f) is a polynomial F(f(0),f(1),...,f(n)) in the derivatives f(0)=f,...,f(n) of f with integer coefficients. Special attention is paid to determining the coefficients of F. The author presents algorithms for computing the coefficients and also shows that the sum of all coefficients of F equals n!. The paper ends with some remarks on the number of coefficients of F, which is related to the number-theoretic unrestricted partition function. - Źródło:
-
Mathematica Applicanda; 1983, 11, 22
1730-2668
2299-4009 - Pojawia się w:
- Mathematica Applicanda
- Dostawca treści:
- Biblioteka Nauki
Artykuł