functional equation
A functional equation is an equation whose unknowns are functions
.
f(x+y)=f(x)+f(y),f(x⋅y)=f(x)⋅f(y) are examples of such equations. The systematic study of these didn’t begin before the 1960’s, although various mathematicians have been studying them before, including Euler and Cauchy just to mention a few.
Functional equations appear many , for example,
the gamma function
and Riemann’s zeta function both satisfy functional equations.
| Title | functional equation |
|---|---|
| Canonical name | FunctionalEquation |
| Date of creation | 2013-03-22 13:06:53 |
| Last modified on | 2013-03-22 13:06:53 |
| Owner | jgade (861) |
| Last modified by | jgade (861) |
| Numerical id | 9 |
| Author | jgade (861) |
| Entry type | Definition |
| Classification | msc 39B05 |
| Related topic | Equation |