Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hermite_polynomials
|
| gptkbp:describes |
generating function for Hermite polynomials
|
| gptkbp:expressedIn |
\\sum_{n=0}^\\infty \\frac{r^n}{n!} H_n(x) H_n(y) = \\frac{1}{\\sqrt{1-r^2}} \\exp\\left(\\frac{2rxy - r^2(x^2 + y^2)}{1-r^2}\\right)
|
| gptkbp:field |
gptkb:mathematics
mathematical analysis orthogonal polynomials |
| https://www.w3.org/2000/01/rdf-schema#label |
Mehler's formula
|
| gptkbp:namedAfter |
Friedrich Gustav Mehler
|
| gptkbp:publishedIn |
1866
|
| gptkbp:usedIn |
gptkb:probability_theory
quantum mechanics statistical physics |
| gptkbp:bfsParent |
gptkb:Gustav_Ferdinand_Mehler
gptkb:Ernst_Mehler |
| gptkbp:bfsLayer |
8
|