Functional equations stemming from probability theory

Year, pages: 2009, 65 - 80

Special cases of the functional equation \[ h_{1}\left(\frac{x}{c\left(y\right)}\right)\frac{1}{c\left(y\right)}f_{Y}\left(y\right)= h_{2}\left(\frac{y}{d\left(x\right)}\right)\frac{1}{d\left(x\right)}f_{X}\left(x\right) \] are investigated for almost all $\left(x,y\right)\in\r^{2}_{+}$, for the given functions $c$, $d$ and the unknown functions $h_{1}$, $h_{2}$, $f_{X}$ and $f_{Y}$.

Lajkó, K., Mészáros, F. 2009. Functional equations stemming from probability theory. In Tatra Mountains Mathematical Publications, vol. 44, no.3, pp. 65-80. 1210-3195.

Lajkó, K., Mészáros, F. (2009). Functional equations stemming from probability theory. Tatra Mountains Mathematical Publications, 44(3), 65-80. 1210-3195.